Approximation by complex Stancu type Durrmeyer operators in compact disks

被引：0
|
作者：
Ren, Mei-Ying [1 ]
Zeng, Xiao-Ming [2 ]
机构：
[1] Wuyi Univ, Dept Math & Comp Sci, Wuyishan 354300, Peoples R China
[2] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2015年 / 18卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Complex Stancu type Durrmeyer operators; Voronovskaja-type result; Exact order of approximation; Simultaneous approximation; Overconvergence; POLYNOMIALS;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we introduce a class of complex Stancu type Durrmeyer operators and study the approximation properties of these operators. We obtain a Voronovskaja-type result with quantitative estimate for these operators attached to analytic functions on compact disks. We also study the exact order of approximation. More important, our results show the overconvergence phenomenon for these complex operators.
引用
收藏
页码：440 / 453
页数：14
相关论文
共 50 条
  • [31] Approximation of functions by bivariate q-Stancu-Durrmeyer type operators
    Neer, Trapti
    Acu, Ana Maria
    Agrawal, Purshottam
    MATHEMATICAL COMMUNICATIONS, 2018, 23 (02) : 161 - 180
  • [32] Approximation by a Durrmeyer-type operator in compact disks
    Gal S.G.
    Gupta V.
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2011, 57 (2) : 261 - 274
  • [33] Approximation by complex Favard-Szász-Mirakjan-Stancu operators in compact disks
    Gupta V.
    K Verma D.
    Mathematical Sciences, 2012, 6 (1)
  • [34] Approximation by complex Phillips-Stancu operators in compact disks under exponential growth conditions
    Gal, Sorin G.
    Gupta, Vijay
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 234 : 309 - 315
  • [35] Approximation by Complex Bernstein-Stancu Polynomials in Compact Disks
    Gal, Sorin G.
    RESULTS IN MATHEMATICS, 2009, 53 (3-4) : 245 - 256
  • [36] APPROXIMATION BY Q-DURRMEYER - STANCU POLYNOMIALS IN COMPACT DISKS IN THE CASE OF Q > 1
    Kara, M.
    MISKOLC MATHEMATICAL NOTES, 2017, 18 (02) : 859 - 872
  • [37] Approximation by complex q-Durrmeyer polynomials in compact disks
    N. I. Mahmudov
    Vijay Gupta
    Acta Mathematicae Applicatae Sinica, English Series, 2014, 30 : 65 - 74
  • [38] Approximation by Complex Bernstein-Durrmeyer Polynomials in Compact Disks
    Anastassiou, George A.
    Gal, S. G.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2010, 7 (04) : 471 - 482
  • [39] Approximation by (p, q)-Baskakov–Durrmeyer–Stancu Operators
    Tuncer Acar
    S. A. Mohiuddine
    Mohammad Mursaleen
    Complex Analysis and Operator Theory, 2018, 12 : 1453 - 1468
  • [40] QUANTITATIVE ESTIMATES FOR A NEW COMPLEX Q-DURRMEYER TYPE OPERATORS ON COMPACT DISKS
    Kumar, A. Sathish
    Agrawal, Purshottam N.
    Acar, Tuncer
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2018, 80 (01): : 191 - 210
12345