Local and Global Approximation for Certain (p, q)-Durrmeyer Type Operators

被引:0
|
作者
Ana Maria Acu
Vijay Gupta
Neha Malik
机构
[1] Lucian Blaga University of Sibiu,Department of Mathematics and Informatics
[2] Netaji Subhas Institute of Technology,Department of Mathematics
来源
关键词
-Numbers; -Gamma function; Durrmeyer variant; Local approximation; Global approximation; King’s approach; 33B15; 41A25;
D O I
暂无
中图分类号
学科分类号
摘要
The present paper pertains to special approximation properties of certain (p, q)-Durrmeyer variant. The local and global approximation results are estimated along with comparison to the optimal convergence using the technique given by King. Graphically, we illustrate the convergence of these operators for different values of the two parameters p and q using MATLAB.
引用
收藏
页码:1973 / 1989
页数:16
相关论文
共 50 条
  • [41] (p, q)-Genuine Bernstein Durrmeyer operators
    Gupta, Vijay
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2016, 9 (03): : 399 - 409
  • [42] Local approximation by generalized Baskakov-Durrmeyer operators
    Abel, Ulrich
    Ivan, Mircea
    Li, Zhongkai
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2007, 28 (3-4) : 245 - 264
  • [43] Approximation by a kind of complex modified q-Durrmeyer type operators in compact disks
    Mei-Ying Ren
    Xiao-Ming Zeng
    Journal of Inequalities and Applications, 2012
  • [44] Statistical approximation properties of the Durrmeyer type q-Bleimann, Butzer, and Hahn operators
    Cai, Qing-Bo
    Zeng, Xiao-Ming
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (01) : 1 - 9
  • [45] Local approximation by a variant of Bernstein-Durrmeyer operators
    Abel, Ulrich
    Gupta, Vijay
    Mohapatra, Ram N.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (11) : 3372 - 3381
  • [46] Approximation by a kind of complex modified q-Durrmeyer type operators in compact disks
    Ren, Mei-Ying
    Zeng, Xiao-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [47] Approximation by Certain Operators Linking the α-Bernstein and the Genuine α-Bernstein-Durrmeyer Operators
    Acu, Ana Maria
    Radu, Voichita Adriana
    MATHEMATICAL ANALYSIS I: APPROXIMATION THEORY, ICRAPAM 2018, 2020, 306 : 77 - 88
  • [48] WEIGHTED APPROXIMATION PROPERTIES OF STANCU TYPE MODIFICATION OF q-SZASZ-DURRMEYER OPERATORS
    Icoz, Gurhan
    Mohapatra, R. N.
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2016, 65 (01): : 87 - 103
  • [49] Some approximation properties of q-Baskakov-Durrmeyer operators
    Gupta, Vijay
    Aral, Ali
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (03) : 783 - 788
  • [50] Rate of Approximation by Finite Iterates of q-Durrmeyer Operators
    Gairola, Asha Ram
    Deepmala
    Mishra, Lakshmi Narayan
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2016, 86 (02) : 229 - 234