{"id":45,"date":"2013-08-02T13:18:37","date_gmt":"2013-08-02T10:18:37","guid":{"rendered":"http:\/\/math.ubbcluj.ro\/~agratini\/?page_id=45"},"modified":"2025-04-28T09:54:30","modified_gmt":"2025-04-28T06:54:30","slug":"publications","status":"publish","type":"page","link":"https:\/\/math.ubbcluj.ro\/~agratini\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<p style=\"text-align: right; font-size: 11px;\"><i>When you grow to believe that your work is very important, you are<br \/>\nvery near to a nervous breakdown.<\/i> (Bertrand Russell)<\/p>\n<h3><em><span style=\"color: #555;\"><strong>1. Papers in Scientific Journals and Proceedings<\/strong><\/span><\/em><\/h3>\n<div class=\"su-tabs su-tabs-style-default su-tabs-mobile-stack su-tabs-vertical\" data-active=\"1\" data-scroll-offset=\"0\" data-anchor-in-url=\"no\"><div class=\"su-tabs-nav\"><span class=\"\" data-url=\"\" data-target=\"blank\" tabindex=\"0\" role=\"button\">2015 - present<\/span><span class=\"\" data-url=\"\" data-target=\"blank\" tabindex=\"0\" role=\"button\">2010 - 2014<\/span><span class=\"\" data-url=\"\" data-target=\"blank\" tabindex=\"0\" role=\"button\">2005 - 2009<\/span><span class=\"\" data-url=\"\" data-target=\"blank\" tabindex=\"0\" role=\"button\">2000 - 2004<\/span><span class=\"\" data-url=\"\" data-target=\"blank\" tabindex=\"0\" role=\"button\">1993 - 1999<\/span><\/div><div class=\"su-tabs-panes\"><div class=\"su-tabs-pane su-u-clearfix su-u-trim\" data-title=\"2015 - present\">\n<ul>\n<li><strong>Octavian Agratini<\/strong>, <em>On Kantorovich-type Operators in Lp Spaces<\/em>, WSEAS Transactions on Mathematics, Vol. 23, pp. 1033-1038, 2024. <u>https:\/\/doi.org 10.37394\/23206.2024.23.106<\/u><\/li>\n<li><u><\/u><strong>Abel, U., Agratini, O.,<\/strong> P\u0103lt\u0103nea, R., <em>Sz\u00e1sz &#8211; Mirakjan &#8211; Durrmeyer operators defined by multiple Appell polynomials,<\/em> POSITIVITY, Vol. 29, Article number 27, 2025, 17 pages.\u00a0<a href=\"https:\/\/doi.org\/10.1007\/s11117-024-01108-6\">https:\/\/doi.org\/10.1007\/s11117-024-01108-6<\/a><\/li>\n<li><strong>Agratini, O.,<\/strong> <em>Properties of positive linear operators connected with squared fundamental functions<\/em>, NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, Vol. 45, 2024, Issue 2, 103 &#8211; 111.\u00a0<a href=\"https:\/\/doi.org\/10.1080\/01630563.2024.2316579\">https:\/\/doi.org\/10.1080\/01630563.2024.2316579<\/a><\/li>\n<li><strong>Agratini, O., <\/strong>Precup, R., <em>Estimates related to the iterates of positive linear operators and their multidimensional analogues<\/em>. POSITIVITY, Vol. 28, 2024, Issue 2, article number 27. <a href=\"https:\/\/doi.org\/10.1007\/s11117-024-01045-4\">https:\/\/doi.org\/10.1007\/s11117-024-01045-4<\/a><\/li>\n<li>Abel, U., <strong>Agratini, O<\/strong>., Ivan, M., <em>Asymptotic properties of Kantorovich-type Sz\u00e1sz-Mirakjan<\/em> <em>operators of higher order<\/em>, MATHEMATICAL FOUNDATIONS OF COMPUTING, Vol. 6, Issue 3, 2023, 290-302. https:\/\/doi.org\/ <a href=\"https:\/\/www.aimsciences.org\/article\/doi\/10.3934\/mfc.2023003\">10.3934\/mfc.2023003 <\/a><\/li>\n<li>Abel, U., <strong>Agratini, O<\/strong>., <em>On Wachnicki\u2019s Generalization of the Gauss-Weierstrass Integral<\/em>, In: Recent\u00a0Advances in Mathematical Analysis. Trends in Mathematics, (Candela, A.M., Cappelletti Montano, M., Mangino, E., Eds), Birkh\u00e4user, Cham., pp 1\u201313, 2023.\u00a0<a href=\"https:\/\/doi.org\/10.1007\/978-3-031-20021-2_1\">https:\/\/doi.org\/10.1007\/978-3-031-20021-2_1<\/a><\/li>\n<li>Abel, U., <strong>Agratini, O<\/strong>., <em>P<\/em><em>\u0103lt\u0103nea\u2019s operators: old and new results,<\/em> BULLETIN OF THE TRANSILVANIA UNIVERSITY OF BRA\u0218OV, Serie III: Mathematics and Computer Science, Vol. 3(65), No. 2, 2023, 1 \u2013 12. https:\/\/doi.org\/10.31926\/but.mif.2023.3.65.2.1<\/li>\n<li>Abel, U., <strong>Agratini, O.<\/strong>, <em>Simultaneous approximation by\u00a0 Gauss-Weierstrass-Wachnicki operators<\/em>, MEDITERRANEAN JOURNAL OF MATHEMATICS, Vol. 19, Issue 6, Article 267, 2022, 13 pages. doi.org\/10.1007\/s00009-022-02194-0<\/li>\n<li><strong>Agratini, O<\/strong>., Precup, R., <em>Iterates of multidimensional approximation operators via Perov\u00a0 theorem,<\/em> CARPATHIAN JOURNAL OF MATHEMATICS, Vol. 38, 2022, No. 3, 539 -546.<br \/>\nDOI: https:\/\/doi.org\/10.37193\/CJM.2022.03.02<\/li>\n<li><strong>Agratini, O.<\/strong>, Do\u011fru, O., <em>Kantorovich-type operators associated with a variant of Jain operators<\/em>, \u00a0STUDIA UNIVERSITATIS BABE\u0218-BOLYAI MATHEMATICA, Vol. 66, No. 2, 2021, 279 &#8211; 288.\u00a0DOI: 10.24193\/subbmath.2021.2.04<\/li>\n<li>Abel, U., <strong>Agratini, O.<\/strong>, <em>On the \u00a0Durrmeyer-type variant and generalizations of Lototsky-Bernstein<\/em><em>\u00a0operators, <\/em>SYMMETRY, Vol. 13, Issue 10, Article 1841, 2021. DOI:\u00a0<a href=\"https:\/\/doi.org\/10.3390\/sym13101841\">https:\/\/doi.org\/10.3390\/sym13101841<\/a><\/li>\n<li><strong>Agratini, O.,<\/strong> Aral, A., <em>Approximation of some classes of functions by Landau type operators,<\/em><em>\u00a0<\/em>RESULTS IN MATHEMATICS, Vol. 76, Article 12, 2021, 15 pages.<br \/>\nDoi.org\/10.1007\/s00025-020-01319-9<\/li>\n<li><strong>Agratini, O.<\/strong>, <em>Approximation properties of a family of integral type operators<\/em>,\u00a0POSITIVITY, Vol. 25, Issue 1, 2021, 97 &#8211; 108.<br \/>\nDoi.org\/10.1007\/s11117-020-00752-y<\/li>\n<li><strong>Agratini, O.<\/strong>, Gal, Sorin G., <em>On Landau-type approximation operators<\/em>,\u00a0 MEDITERRANEAN JOURNAL OF MATHEMATICS, Vol. 18, Issue 2, Article\u00a0 64, 2021, 15 pages.<br \/>\nDoi.org\/10.1007\/s00009-021-01712-w<\/li>\n<li><strong>Agratini, O.<\/strong>, Karsli H., <em>Modifying an approximation process using non &#8211; Newtonian calculus<\/em>, STUDIA UNIV. BABE\u015e-BOLYAI, MATHEMATICA, Vol. 65, 2020, No. 2, 291 \u2013 301.<\/li>\n<li><strong>Agratini, O.<\/strong>, <em>Linear positive operators constructed by using Beta &#8211; type bases<\/em>, HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, Vol. 49, Issue 3, 2020, 1030 &#8211; 1038.<\/li>\n<li><strong>Agratini, O.<\/strong>, <em>On a class of Bernstein-type rational functions, <\/em>NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, Vol. 41, Issue 4, 2020, 483 \u2013 494.<\/li>\n<li><strong>Agratini, O., <\/strong><em>Shift \u03bb &#8211; invariant operators, <\/em>CONSTRUCTIVE MATHEMATICAL ANALYSIS, Vol. 2, Issue 3, 2019, 103 \u2013 108.<\/li>\n<li>\n<div><strong>Agratini, O.<\/strong>, <em>Properties of discrete non-multiplicative operators,<\/em>\u00a0ANALYSIS AND MATHEMATICAL PHYSICS, Vol. 9, Issue 1, 2019, 131 \u2013 141.<\/div>\n<\/li>\n<li><strong>Agratini, O.<\/strong>, <em>A stop over Jain operators and their generalizations<\/em>, ANALELE UNIVERSIT\u0102\u0162II DE VEST, TIMI\u015eOARA, Seria Matematic\u0103 &#8211; Informatic\u0103, Vol. 56, 2018, f. 2, 28 &#8211; 42.<\/li>\n<li>\n<div><strong>Agratini, O.<\/strong>, <em>From uniform to statistical convergence of binomial-type operators<\/em>, In: ADVANCES IN SUMMABILITY AND APPROXIMATION THEORY, pp.169 &#8211; 179, (Eds.<br \/>\nS. A. Mohiuddine, Tuncer Acar), Springer, Singapore, 2018. ISBN: 978-981-13-3076-6<\/div>\n<\/li>\n<li>\n<div><strong>Agratini, O.<\/strong>, <em>Approximation with arbitrary order by certain linear positive operators<\/em>, POSITIVITY, Vol. 22, Issue 5, 2018, 1241 &#8211; 1254.<\/div>\n<\/li>\n<li>Abel, U., <strong>Agratini, O.<\/strong>, P\u0103lt\u0103nea, R., <em>A complete asymptotic expansion for the quasi- interpolants of Gauss-Weierstrass operators<\/em>, MEDITERRANEAN JOURNAL OF MATHEMATICS, Vol. 15, Issue 4, 2018, Article 156, 10 pages.<\/li>\n<li><strong>Agratini, O.<\/strong>, <em>Statistical convergence applied to Korovkin-type approximation theory<\/em>, WSEAS TRANSACTIONS ON MATHEMATICS, Vol. 16, 2017, 183 &#8211; 186.<\/li>\n<li><strong>Agratini, O.<\/strong>, Aral, A., Deniz, E., <em>On two classes of approximation processes of integral type<\/em>,\u00a0POSITIVITY, Vol. 21, Issue 3, 2017, 1189 \u2013 1199.<\/li>\n<li>Abel, U., <strong>Agratini, O.<\/strong>, <em>Asymptotic behavior of Jain operators,\u00a0<\/em>NUMERICAL ALGORITHMS, Vol. 71, Issue 3, 2016, 553-565.<\/li>\n<li><strong>Agratini, O.<\/strong>, Gupta, V., <em>On the uniform convergence of a q-series<\/em>,\u00a0CARPATHIAN JOURNAL OF MATHEMATICS, Vol. 32, 2016, No. 2, 141-146.<\/li>\n<li>Abel, U., <strong>Agratini, O.<\/strong>, <em>On the variation detracting property of operators of Bal\u00e1zs and Szabados<\/em>, ACTA MATHEMATICA HUNGARICA, Vol. 150, Issue 2, 2016, 383-395.<\/li>\n<li><strong>Agratini, O.<\/strong>, <em>Kantorovich-type operators preserving affine functions<\/em>, HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, Vol. 45, Issue 6, 2016, 1657-1663.<\/li>\n<li><strong>Agratini, O.<\/strong>, <em>Kantorovich sequences associated to general approximation processes<\/em>, POSITIVITY, Vol. 19, Issue 4, 2015, 681 &#8211; 693.<\/li>\n<li><strong>Agratini, O.<\/strong>, <em>A sequence of positive linear operators associated with an approximation process, <\/em>APPLIED MATHEMATICS AND COMPUTATION, Vol. 269, 2015, 23 \u2013 28.<\/li>\n<li><strong>Agratini, O.<\/strong>, <em>Uniform approximation of some classes of linear positive operators expressed <\/em><em>by series<\/em>, APPLICABLE ANALYSIS, Vol. 94, Issue 8, 2015, 1662 \u2013 1669.<\/li>\n<li><strong>Agratini, O.<\/strong>, <em>On a property of moduli of smoothness and K-functionals<\/em>, FILOMAT, Vol. 29, Issue 7, 2015, 1425 \u2013 1428.<\/li>\n<\/ul>\n<\/div>\n<div class=\"su-tabs-pane su-u-clearfix su-u-trim\" data-title=\"2010 - 2014\">\n<ul>\n<li><strong>Agratini, O.<\/strong>, <i>On approximation process of integral type<\/i>, APPLIED MATHEMATICS AND COMPUTATIONS, Vol. 236, 2014, 195 &#8211; 201.<\/li>\n<li>Zeng, X. \u2013 M., Gupta, V., <strong>Agratini, O.<\/strong>, <i>Approximation by B\u00e9zier variant of the Baskakov operators in the case 0 &lt; \u03b1 &lt; 1<\/i>, ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, Vol. 44, No. 1, 2014, 317 &#8211; 327.<\/li>\n<li><strong>Agratini, O.<\/strong>, Tarabie, S., Tr\u00eembi\u0163a\u015f, R., <i>Approximation of bivariate functions by truncated classes of operators<\/i>, In: Proceedings of the Third International Conference on Modelling and Development of Intelligent Systems, Sibiu-Romania, October 10 &#8211; 12, 2013, pp. 11-19, Editor Dana Simian, Lucian Blaga University Press, Sibiu, 2014.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Approximation properties of a class of linear operators<\/i>, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Vol. 36, Issue 17, 2013, 2353 \u2013 2358.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On a double complex sequence of linear operators, <\/i>NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, Vol. 34, No. 6, 2013, 605 \u2013 612.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Bivariate positive operators in polynomial weighted spaces<\/i>, ABSTRACT AND APPLIED ANALYSIS, Vol. 2013, Article ID 850760, 8 pages, 2013<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Statistical convergence of integral operators generated by a single kernel<\/i>,<b> <\/b>NONLINEAR ANALYSIS: THEORY, METHODS &amp; APPLICATIONS, Vol. 75, 2012, 3465 \u2013 3469.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>A-statistical convergence of a class of integral operators<\/i>, APPLIED MATHEMATICS &amp; INFORMATION SCIENCES, Vol. 6, No. 2, 2012, 325 \u2013 328.<\/li>\n<li><strong>Agratini, O.<\/strong>, Radu, C., <i>On q &#8211; Baskakov &#8211; Mastroianni operators<\/i>, ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, Vol. 42, No. 3, 2012, 773 \u2013 790.<\/li>\n<li><strong>Agratini, O.<\/strong>, Nowak, G., <i>On a generalization of Bleimann, Butzer and Hahn operators based on<\/i><i> q-integers,<\/i> MATHEMATICAL AND COMPUTER MODELLING, Vol. 53, 5-6, 2011, 699 \u2013 706.<\/li>\n<li><strong>Agratini, O.<\/strong>, Radu, C., <i>An extension based on qR-integral for a sequence of operators<\/i>, APPLIED MATHEMATICS AND COMPUTATION, Vol. 218, Issue 1, 2011, 140 \u2013 147.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Statistical convergence of a non-positive approximation process<\/i>, CHAOS, SOLITONS &amp; FRACTALS, Vol. 44, 2011, 977 \u2013 981.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On a q-analogue of Stancu operators<\/i>,<i> <\/i>CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, Vol. 8, 2010, No. 1, 191-198.<\/li>\n<li><strong>Agratini, O.<\/strong>, Dogru, O., <i>Weighted approximation by q-Szasz-King type operators<\/i>, TAIWANESE JOURNAL OF MATHEMATICS, Vol. 14, 2010, No. 4, 195-206.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>An asymptotic formula for a class of approximation processes of King\u2019s<\/i> type, STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, Vol. 47, No. 4, 2010, 435 \u2013 444.<\/li>\n<li><strong>Agratini, O.<\/strong>, Radu, C., <i>Asymptotic formulae for Baskakov-Mastroianni operators based on <\/i><i>q-integers,<\/i> In: SUPLLEMENTO AI RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, Serie II, numero 82, pp. 195-206, 2010 &#8211; Proceedings of the 6<sup>th<\/sup> International Conference on Functional Analysis and Approximation Theory, Acquafredda di Maratea,(Potenza-Italy), September 24-30, 2009.<\/li>\n<li><strong>Agratini, O.<\/strong>, Andrica, T., <i>Discrete approximation processes of King\u2019s type<\/i>, In: NONLINEAR ANALYSIS AND VARIATIONAL PROBLEMS, pp. 3-12, (Eds. Panos P. Pardalos, Themistocles M. Rassias, Akhtar A. Khan), Springer Optimization and its Applications, Vol. 35, Springer, 2010.<\/li>\n<\/ul>\n<\/div>\n<div class=\"su-tabs-pane su-u-clearfix su-u-trim\" data-title=\"2005 - 2009\">\n<ul>\n<li><strong>Agratini, O.<\/strong>, <i>On statistical approximation in spaces of continuous functions<\/i>, POSITIVITY, Vol. 13, 2009, 4, 735 \u2013 743.<\/li>\n<li><strong>Agratini, O.<\/strong>, Tarabie, S., <i>On some linear positive operators: statistical approximation and<\/i><i> q-generalizations<\/i>, In: Proceedings of First International Conference on Modelling and Development of Intelligent Systems, Sibiu-Romania, October 22-25, 2009, pp. 7-13, Editor Dana Simian, Lucian Blaga University Press, Sibiu, 2009.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On the iterates of a class of summation-type linear positive operators<\/i>, COMPUTERS AND MATHEMATICS WITH APPLICATIONS, Vol. 55, Issue 6, 2008, 1178 \u2013 1180.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On certain q-analogues of the Bernstein operators<\/i>, CARPATHIAN JOURNAL OF MATHEMATICS, Vol. 24, 2008, No. 3, 281-286.<\/li>\n<li><strong>Agratini, O.<\/strong>, Tarabie, S. <i>On approximating operators preserving certain polynomials<\/i>, AUTOMATION COMPUTER APPLIED MATHEMATICS, Vol.17, 2008, No.2, 191-199.<\/li>\n<li><strong>Agratini, O.<\/strong>, Andrica, T., <i>Inequalities and Approximation Theory<\/i>, In: INEQUALITIES AND APPLICATIONS, Eds. Themistocles M. Rassias, Dorin Andrica, pp. 1-12, Cluj University Press, 2008.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On the variation detracting property of a class of operators, <\/i>APPLIED MATHEMATICS LETTERS, Vol. 19, 2006, Issue 11, 1261-1264.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Linear operators that preserve some test functions,<\/i> INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES,Vol. 2006, Article ID 94136, pages 1-11.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On a class of linear positive bivariate operators of King type, <\/i>STUDIA UNIV. &#8220;BABE\u015e-BOLYAI&#8221;, MATHEMATICA, Vol. 51, 2006, f .4, 13-22.<\/li>\n<li>Agratini, O<i>., On approximation of functions by positive linear operators<\/i>, In: STUDII \u015eI CERCET\u0102RI \u015eTIIN\u0162IFICE, Seria Matematic\u0103, Proceedings of International Conference of Mathematics &amp; Informatics ICMI45, Bac\u0103u, September 18 &#8211; 20, 2006, Vol. 16 (2006) Supplement, pp. 17 &#8211; 28, Universitatea din Bac\u0103u, Facultatea de \u015etiin\u0163e.<\/li>\n<li><strong>Agratini, O.<\/strong>, On the rate of convergence of some integral operators for functions of bounded variation, STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, Vol. 42, 2, 2005, 235 \u2013 252.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Quantitative approximation by using scaling type functions<\/i>, STUDIA UNIV. &#8220;BABE\u015e-BOLYAI&#8221;, MATHEMATICA, Vol. 50, 2005, f. 2, 3-13.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i> Rate of convergence of a class of Bezier type operators for functions of bounded <\/i><i> variation,<\/i> In: SUPLLEMENTO AI RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO Serie II, numero 76, pp. 177-195, 2005 -Proceedings of the 5<sup>th<\/sup> International Conference on Functional Analysis and Approximation Theory, Acquafredda di Maratea, (Potenza-Italy), June 16-23, 2004.<\/li>\n<\/ul>\n<\/div>\n<div class=\"su-tabs-pane su-u-clearfix su-u-trim\" data-title=\"2000 - 2004\">\n<ul>\n<li><strong>Agratini, O.<\/strong>, <i>A generalization of Durrmeyer-type polynomials and their approximation properties<\/i>, In: APPLICATIONS OF FIBONACCI NUMBERS, Proceedings of the Tenth International Research Conference on Fibonacci Numbers and Their Applications, Northern Arizona University, Flagstaff, June 24-28, 2002, Vol. 9 (Ed. Fredric T. Howard), pp. 9-18, Kluwer Academic Publishers, 2004.<\/li>\n<li><strong>Agratini, O.<\/strong>, Della Vecchia, Biancamaria, <i>Mastroianni operators revisited, <\/i>FACTA UNIVERSITATIS, Nis, Series: Mathematics and Informatics, Vol. 19, 2004, 53-63.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Linear operators generated by a probability density function,<\/i> In: ADVANCES IN CONSTRUCTIVE APPROXIMATION: VANDERBILT 2003, (Eds.,M. Neamtu and E. B. Saff) pp. 1-12, Proceedings of International Conference <i>Advances in Constructive<\/i> <i>Approximation<\/i>, 14-17 May, 2003, Nashville, Tennessee, Nashboro Press, TN, 2004.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On the convergence of a truncated class of operators<\/i>, BULLETIN INSTITUTE OF MATHEMATICS, ACADEMIA SINICA, TAIWAN, Vol.31, 2003, no.3, 213-223.<\/li>\n<li><strong>Agratini, O.<\/strong>, Rus, I. A., <i>Iterates of a class of discrete linear operators via contraction principle, <\/i>COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, Vol. 44, 2003, 3, 555-563.<\/li>\n<li><strong>Agratini, O.<\/strong>, Rus, I. A., <i> Iterates of some bivariate approximation process via weakly Picard <\/i><i>operators,<\/i> NONLINEAR ANALYSIS FORUM, Vol. 8, 2003, No.2, 159-168.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Operators generated by a quasi-scaling type function, <\/i>REVISTA DE LA UNION MATEMATICA ARGENTINA, Vol. 44, 2003, 2, 21-30.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On some Bernstein type operators: iterates and generalizations,<\/i> EAST JOURNAL ON APPROXIMATIONS, Vol. 9, 2003, 4, 415-426.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On approximation properties of Bal\u00e1zs-Szabados operators and their Kantorovich <\/i><i>extension<\/i>, THE KOREAN JOURNAL OF COMPUTATIONAL &amp; APPLIED MATHEMATICS, Vol. 9, 2002, No. 2, 361-372.<\/li>\n<li><a href=\"http:\/\/ictp.acad.ro\/jnaat\/journal\/article\/view\/2002-vol31-no1-art2\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Agratini, O.<\/strong>, <em>Stancu modified operators revisited<\/em>, REVUE D&#8217;ANALYSE NUMERIQUE ET DE THEORIE DE L&#8217;APPROXIMATION, Tome 31, no. 1, 2002, 9 &#8211; 16.<\/a><\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On the rate of convergence for semigroups and processes of Feller type<\/i>, ANALELE UNIVERSIT\u0102\u0162II BUCURE\u015eTI, Matematica &#8211; Informatica, Vol. 51, 2002, No.1, 3 &#8211; 11.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On some operators of discrete type<\/i>, In: SUPLLEMENTO AI RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, Serie II, numero 68, pp. 229-243, 2002 &#8211; Proceedings of the 4<sup>th<\/sup> International Conference on Functional Analysis and Approximation Theory, Acquafredda di Maratea, (Potenza-Italy), September 22-28, 2000.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>The mysterious wavelets world<\/i>, In: Poceedings of the 5<sup>th<\/sup> Romanian-German Seminar on MATHEMATICAL ANALYSIS AND APPROXIMATION THEORY, Sibiu, June 12 &#8211; 15, 2002 Eds. A. Lupa\u015f, H. Gonska, L. Lupa\u015f), pp. 9-35, Burg Verlag, Sibiu, 2002.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On some wavelet type linear operators<\/i>, In: Proceedings of the INTERNATIONAL SYMPOSIUM ON NUMERICAL ANALYSIS AND APPROXIMATION THEORY, Cluj-Napoca, May 9-11, 2002, (Ed. Radu T. Trimbitas), pp. 46-53, ClujUniversity Press, 2002.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Appr<\/i><i>oximation operators &#8211; solutions and questions<\/i>, In: SEMINAIRE DE LA THEORIE DE LA MEILLEURE APPROXIMATION, CONVEXITE ET OPTIMISATION, Cluj- Napoca, 22-26 mai, 2002, (Ed. E. Popoviciu), pp. 21-29, Editura SRIMA, 2002.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Korovkin type error estimates for Meyer-K\u00f6nig and Zeller operators<\/i>, MATHEMATICAL INEQUALITIES &amp; APPLICATIONS, Vol. 4, 2001, No. 1, 119-126.<\/li>\n<li><strong>Agratini, O.<\/strong>,<i>An approximation process of Kantorovich type<\/i>, MATHEMATICAL NOTES, Miskolc, Vol. 2, 2001, No. 1, 3-10.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Binomial polynomials and their applications in Approximation Theory<\/i>, CONFERENZE DEL SEMINARIO DI MATEMATICA DELL&#8217; UNIVERSITA DI BARI, Vol. 281, Aracne Editrice, Roma, 2001, 1-22.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On the rate of convergence of a positive approximation process<\/i>, NIHONKAI MATHEMATICAL JOURNAL, Japan, Vol. 11, 2000, No. 1, 47-56.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On a certain class of approximation operators<\/i>,PURE MATHEMATICS AND APPLICATIONS, Vol. 11, 2000, No. 2, 119-127.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>M<\/i><i>ore than a summing up about Meyer-K\u00f6nig and Zeller operators<\/i>, Proceedings of the 4<sup>th<\/sup> Romanian-German Seminar on APPROXIMATION THEORY AND ITS APPLICATIONS, Bra\u015fov, 3-5 July, 2000, (Eds. H. H. Gonska, D. Kacso, L. Beutel), pp. 13-25, Duisburg: Schriftenreihe des Fachbereichs der Gerhard-Mercator-Universit\u00e4t, SM-DU-485, 2000.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Application of<\/i><i> Popoviciu&#8217;s high convexity to the study of some sequences properties<\/i>, In: SEMINAIRE DE LA THEORIE DE LA MEILLEURE APPROXIMATION, CONVEXITE ET OPTIMISATION, Cluj-Napoca, 26-29 Octobre, 2000, (Ed. E. Popoviciu), pp. 1-15, Editura SRIMA, 2000.<\/li>\n<\/ul>\n<\/div>\n<div class=\"su-tabs-pane su-u-clearfix su-u-trim\" data-title=\"1993 - 1999\">\n<ul>\n<li><strong>Agratini, O.<\/strong>, <i>Approximation properties of a class of linear operators<\/i>, BULETINUL ACADEMIEI DE \u015eTIIN\u0162E A REPUBLICII MOLDOVA, Vol. 29, 1999, f. 1, 73-78.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>A note on a class of operators on infinite interval<\/i>, DEMONSTRATIO MATHEMATICA, Vol. 32, 1999, No. 4, 779-794.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Smoothness properties of positive summation integral operators<\/i>, EAST JOURNAL ON APPROXIMATIONS, Vol. 5, 1999, 381-392.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On a sequence of linear and positive operators<\/i>, FACTA UNIVERSITATIS, Nis, Series: Mathematics and Informatics, Vol. 14, 1999, 41-48.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Properties concerning the Baskakov-Beta operators, <\/i>In: CONFERENCE ANALYSIS, FUNCTIONAL EQUATIONS, APPROXIMATION AND CONVEXITY, Proceedings of the Conference held in honour of Professor Elena Popoviciu on the occasion of her 75<sup>th<\/sup>f birthday, Cluj- Napoca, October 15-16, 1999 (Eds. L. Lup\u015fa, M. Ivan), pp. 1-7, Editura Carpatica, 1999.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Approximation properties of a generalization of Butzer and Hahn operators<\/i>, MATHEMATICA PANNONICA, Vol. 9, 1998, f. 2, 165-171.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Properties of a new class of recursively defined Baskakov-type operators<\/i>, ARCHIVUM MATHEMATICUM, Tomus 34, 1998, f. 3, 353-359.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Asymptotic formulae for recursively defined Baskakov-type operators<\/i>, PUBLICATIONS DE L&#8217;INSTITUT MATHEMATIQUE, Beograd,. S., Tome 63(77), 1998, 152-162.<\/li>\n<li><a href=\"http:\/\/ictp.acad.ro\/jnaat\/journal\/article\/view\/1998-vol27-no1-art3\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Agratini, O.<\/strong>, <i>Linear combinations of D. D. Stancu polynomials<\/i>, REVUE D&#8217;ANALYSE NUMERIQUE ET DE THEORIE DE L&#8217;APPROXIMATION, Tome 27, no. 1, 1998, 15-22.<\/a><\/li>\n<li><strong>Agratini, O.<\/strong>, <i>An asymptotic property of integral type operators, <\/i>MATHEMATICA, Tome 40(63), no. 1, 1998, 3-8.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On a problem of A. Lupa\u015f<\/i>, GENERAL MATHEMATICS, Vol. 6, 1998, 3-11.<\/li>\n<li><strong>Agratini, O.<\/strong>, O<i>n a class of linear approximating operators<\/i>, MATHEMATICA BALKANICA N. S. Vol. 11, 1997, f. 3-4, 407-412.<\/li>\n<li><a href=\"http:\/\/ictp.acad.ro\/jnaat\/journal\/article\/view\/1997-vol26-nos1-2-art1\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Agratini, O.<\/strong>, <i>Construction of Baskakov-type operators by wavelets<\/i>, REVUE D&#8217;ANALYSE NUMERIQUE ET DE THEORIE DE L&#8217;APPROXIMATION, Tome 26, nos. 1-2, 1997, 3-11.<\/a><\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On modified Beta operators<\/i>, STUDIA UNIV. &#8220;BABE\u015e-BOLYAI&#8221;, MATHEMATICA, Vol. 42, 1997, f. 1, 5-9.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>A bivariate extension of the Bernstein polynomials<\/i>, STUDIA UNIV. &#8220;BABE\u015e-BOLYAI&#8221;, MATHEMATICA, Vol. 42, 1997, f. 2, 7-10.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On a functional equation<\/i>, STUDIA UNIV. &#8220;BABE\u015e-BOLYAI&#8221;, MATHEMATICA, Vol. 42, 1997, f. 4, 1-8.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On simultaneous approximation by Stancu-Bernstein operators<\/i>, In: APPROXIMATION AND OPTIMIZATION, Proceedings of ICAOR International Conference on Approximation and Optimization (Romania), Cluj-Napoca, July 29- August 1, 1996, Vol. I (Eds. D. D. Stancu, Gh. Coman, W. W. Breckner, P. Blaga), pp. 157-162, Transilvania Press, 1997.<\/li>\n<li><a href=\"http:\/\/ictp.acad.ro\/jnaat\/journal\/article\/view\/1996-vol25-nos1-2-art1\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Agratini, O.<\/strong>, <i>Application of divided differences to the study of monotonicity of a sequence of <\/i><i>polynomials<\/i>, REVUE D&#8217;ANALYSE NUMERIQUE ET DE THEORIE DE L&#8217;APPROXIMATION, Tome 25, nos. 1-2, 1996, 3-10.<\/a><\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On the monotonicity of sequence of Bernstein type operators<\/i>, STUDIA UNIV. &#8220;BABE\u015e-BOLYAI&#8221;, MATHEMATICA, Vol. 41, 1996, f. 2, 17-23.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>A class of Bleimann, Butzer and Hahn type operators<\/i>, ANALELE UNIVERSIT\u0102\u0162II DIN TIMI\u015eOARA, seria Matematic\u0103-Informatic\u0103, Vol. 34, 1996, f. 2, 173-180.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Approximation theorem in L<sub>p<\/sub> for a class of operators constructed by wavelets<\/i>, STUDIA UNIV. &#8220;BABE\u015e-BOLYAI&#8221;, MATHEMATICA, Vol. 41, 1996, f. 4, 11-16.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>An application of divided differences, <\/i>AUTOMATION COMPUTER APPLIED MATHEMATICS, Vol.4, 1995, No.2, 95-99.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>On the construction of approximating linear positive operators by probabilistic <\/i><i>methods<\/i>, STUDIA UNIV. &#8220;BABE\u015e-BOLYAI&#8221;, MATHEMATICA, Vol. 38, 1993, 45-50.<\/li>\n<\/ul>\n<\/div><\/div><\/div>\n<h3><em><span style=\"color: #555;\"><strong>2. Books<\/strong><\/span><\/em><\/h3>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><strong>Agratini, O.<\/strong>, <i>Aproximare prin operatori liniari,<\/i> PRESA UNIVERSITAR\u0102 CLUJEAN\u0102, 2000, pp. 354.<br \/>\nISBN: 973-595-084-X<\/li>\n<li>Stancu, DD., Coman, Gh., <strong>Agratini, O.<\/strong>, Tr\u00eembi\u0163a\u015f, R., <i>Analiz\u0103 numeric\u0103 \u015fi teoria proxim\u0103rii<\/i>,<i> <\/i><i> <\/i>Vol.I, PRESA UNIVERSITAR\u0102 CLUJEAN\u0102, 2001, pp.414.<br \/>\nISBN: 973-610-043-X<\/li>\n<li><strong>Agratini, O.<\/strong>, Chiorean, I., Coman, Gh., Tr\u00eembi\u0163a\u015f, R., <i>Analiz\u0103 numeric\u0103 \u015fi teoria aproxim\u0103rii<\/i>, Vol.<i> <\/i>III, PRESA UNIVERSITAR\u0102 CLUJEAN\u0102, 2002, pp.551.<br \/>\nISBN: 973-610-164-9<\/li>\n<li><strong>Agratini, O.<\/strong>, Blaga, P., Coman, Gh., <i>Lectures on wavelets, numerical methods and statistics, <\/i>CASA C\u0102R\u0162II DE \u015eTIIN\u0162\u0102, Cluj \u2013 Napoca, 2005, pp. 196.<br \/>\nISBN: 973-686-762-5<\/li>\n<li><strong>Agratini, O.,<\/strong> \u0218erban, A. M., Ilea, V., <em>Teme pentru perfec\u021bionarea profesorilor. Matematic\u0103 aplicat\u0103<\/em>, Vol. 5, CASA C\u0102R\u021aII DE \u0218TIIN\u021a\u0102, 2017, pp. 326.<br \/>\nISBN: 978-606-17-1129-1<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h3><span style=\"color: #555;\"><em>3. Editor<\/em><\/span><\/h3>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>Proceedings of the <em>International Conference on Numerical Analysis and Approximation <\/em><i>Theory,<\/i> Cluj-Napoca, Romania, July 4-8, 2006, Edited by <span style=\"text-decoration: underline;\">Agratini O<\/span>. and Blaga P., Babe\u015f &#8211; Bolyai University, CASA C\u0102R\u0162II DE \u015eTIIN\u0162\u0102, Cluj \u2013 Napoca, 2006, pp.418.<br \/>\nISBN: 973-686-961-X, 978-973-686-961-7<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h3><em><span style=\"color: #555;\"><strong>4. Books and papers in Elementary Mathematics<\/strong><\/span><\/em><\/h3>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><strong>Agratini, O.<\/strong>, Ursu, S., Mihe\u0163, S., <i>Matematici aplicate, auxiliar pentru preg\u0103tirea elevilor de<\/i><i> liceu<\/i>, Vol.I &amp; II, Editura DACIA, Cluj \u2013 Napoca, 2001, pp.526.<br \/>\nISBN: 973-35-1090-4 &amp; 973-35-1119-6<\/li>\n<li><strong>Agratini, O.<\/strong>, Ursu, S., <i>Complemente de algebr<\/i><i>\u0103 \u015fi analiz\u0103<\/i>, Editura STUDIUM Cluj-Napoca, 1998, pp. 222.<br \/>\nISBN: 973-9422-04-7<\/li>\n<li><strong>Agratini, O.<\/strong>, Hudrea, M., Mihe\u0163, S., Ursu S., <i>Matematica \u00eentre pl\u0103cere \u015fi efort<\/i>, Editura STUDIUM, Cluj-Napoca, 1996, pp. 446.<br \/>\nISBN: 973-9258-09-3<\/li>\n<li><strong>Agratini, O.<\/strong>, <em>Asupra no\u021biunii de convergen\u021b\u0103 statistic\u0103<\/em>, DIDACTICA MATHEMATICA, Vol. 32, 2014, 1-8.<\/li>\n<li><strong>Agratini, O.<\/strong>, Radu, C., <i>On some probability problems<\/i>, DIDACTICA MATHEMATICA, Vol. 26, 2008, No. 1, 1-8.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Aplica\u0163ii practice ale ecua\u0163iilor diferen\u0163iale,<\/i> Lucr\u0103rile Seminarului DIDACTICA MATEMATICII, Vol. 17, 2001, 5-14.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Propriet\u0103\u0163ile \u015firurilor Fibonacci \u015fi Lucas,<\/i> Lucr\u0103rile Seminarului DIDACTICA MATEMATICII, Vol. 16, 2000, 3-14.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Asupra propriet\u0103\u0163ilor func\u0163iilor euleriene,<\/i><i> <\/i>Lucr\u0103rile Seminarului DIDACTICA MATEMATICII, Vol. 14, 1998, 17-26.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Probabilistic and non-probabilistic properties of the sequence {W<sub>n<\/sub>},<\/i><i> <\/i>Lucr\u0103rile Seminarului DIDACTICA MATEMATICII, Vol. 12, 1996, 1-6.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Consideration upon a contest problem, <\/i>Lucr\u0103rile Seminarului DIDACTICA MATEMATICII, Vol. 11, 1995, 19-22.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Not\u0103 asupra trat\u0103rii unor probleme de teoria probabilit\u0103\u0163ilor, <\/i>Lucr\u0103rile Seminarului DIDACTICA MATEMATICII, Vol. 8, 1992, 1-4.<\/li>\n<li><strong>Agratini, O.<\/strong>, <i>Aplica\u0163ii ale transform\u0103rilor geometrice, <\/i>Lucr\u0103rile Seminarului DIDACTICA MATEMATICII, Vol. 6, 1990, 21-26.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>When you grow to believe that your work is very important, you are very near to a nervous breakdown. (Bertrand Russell) 1. Papers in Scientific Journals and Proceedings 2. Books Agratini, O., Aproximare prin operatori liniari, PRESA UNIVERSITAR\u0102 CLUJEAN\u0102, 2000,<span class=\"ellipsis\">&hellip;<\/span><\/p>\n<div class=\"read-more\"><a href=\"https:\/\/math.ubbcluj.ro\/~agratini\/publications\/\">Read more &#8250;<\/a><\/div>\n<p><!-- end of .read-more --><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-45","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/math.ubbcluj.ro\/~agratini\/wp-json\/wp\/v2\/pages\/45","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.ubbcluj.ro\/~agratini\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/math.ubbcluj.ro\/~agratini\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/math.ubbcluj.ro\/~agratini\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/math.ubbcluj.ro\/~agratini\/wp-json\/wp\/v2\/comments?post=45"}],"version-history":[{"count":127,"href":"https:\/\/math.ubbcluj.ro\/~agratini\/wp-json\/wp\/v2\/pages\/45\/revisions"}],"predecessor-version":[{"id":1833,"href":"https:\/\/math.ubbcluj.ro\/~agratini\/wp-json\/wp\/v2\/pages\/45\/revisions\/1833"}],"wp:attachment":[{"href":"https:\/\/math.ubbcluj.ro\/~agratini\/wp-json\/wp\/v2\/media?parent=45"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}