A short note on approximation properties of Stancu generalization of q-Durrmeyer operators

被引：0
|
作者：
Vishnu Narayan Mishra
Prashantkumar Patel
机构：
[1] Sardar Vallabhbhai National Institute of Technology,Department of Applied Mathematics and Humanities
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
Asymptotic Formula; Recursive Relation; Approximation Property; Convergence Behavior; Integral Modification;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the present paper, we introduce a simple Stancu generalization of q-analogue of well-known Durrmeyer operators. We first estimate moments of q-Durrmeyer-Stancu operators. We also establish the rate of convergence as well as Voronovskaja type asymptotic formula for q-Durrmeyer-Stancu operators.
引用
收藏
相关论文
共 50 条
  • [41] Degree of approximation for bivariate extension of blending type q-Durrmeyer operators based on Polya distribution
    Aliaga, Edmond
    Rexhepi, Shpetim
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2022, 24 (03): : 256 - 272
  • [42] Approximation by Jakimovski-Leviatan-Stancu-Durrmeyer Type Operators
    Mursaleen, M.
    Rahman, Shagufta
    Ansari, Khursheed J.
    FILOMAT, 2019, 33 (06) : 1517 - 1530
  • [43] QUANTITATIVE APPROXIMATION BY STANCU-DURRMEYER-CHOQUET-SIPOS OPERATORS
    Gal, Sorin G.
    MATHEMATICA SLOVACA, 2019, 69 (03) : 625 - 638
  • [44] Rate of Approximation for Szasz-Mirakyan-Stancu-Durrmeyer Operators
    Govil, N. K.
    Gupta, Vijay
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2012, 33 (03) : 249 - 254
  • [45] Approximation by complex Stancu type Durrmeyer operators in compact disks
    Ren, Mei-Ying
    Zeng, Xiao-Ming
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (03) : 440 - 453
  • [46] Pointwise approximation by a Durrmeyer variant of Bernstein-Stancu operators
    Lvxiu Dong
    Dansheng Yu
    Journal of Inequalities and Applications, 2017
  • [47] Pointwise approximation by a Durrmeyer variant of Bernstein-Stancu operators
    Dong, Lvxiu
    Yu, Dansheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [48] Some approximation properties of q-Baskakov-Durrmeyer operators
    Gupta, Vijay
    Aral, Ali
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (03) : 783 - 788
  • [49] A Short Note on a q-Analog of Modified Stancu—Beta Operators
    P. Sharma
    G. S. Rathore
    Mathematical Notes, 2019, 105 : 881 - 887
  • [50] Simultaneous approximation by Szasz-Mirakjan-Stancu-Durrmeyer type operators
    Mishra, Vishnu Narayan
    Gandhi, R. B.
    PERIODICA MATHEMATICA HUNGARICA, 2017, 74 (01) : 118 - 127
12345