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
  • [41] Approximation by Complex Bernstein-Durrmeyer Polynomials in Compact Disks
    George A. Anastassiou
    S. G. Gal
    Mediterranean Journal of Mathematics, 2010, 7 : 471 - 482
  • [42] Approximation by Complex q-Durrmeyer Polynomials in Compact Disks
    N.I.Mahmudov
    Vijay Gupta
    Acta Mathematicae Applicatae Sinica, 2014, (01) : 65 - 74
  • [43] Approximation by Complex q-Durrmeyer Polynomials in Compact Disks
    Mahmudov, N. I.
    Gupta, Vijay
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2014, 30 (01): : 65 - 74
  • [44] Approximation by Szasz-Stancu-Durrmeyer type Operators Using Charlier Polynomials
    Rao, N.
    Wafi, A.
    AZERBAIJAN JOURNAL OF MATHEMATICS, 2018, 8 (02): : 60 - 71
  • [45] Approximation Properties by q-Durrmeyer-Stancu Operators
    Grhan Iz
    Ram N.Mohapatra
    AnalysisinTheoryandApplications, 2013, 29 (04) : 373 - 383
  • [46] On Approximation by Stancu Type Bernstein–Schurer Polynomials in Compact Disks
    Bing Jiang
    Dansheng Yu
    Results in Mathematics, 2017, 72 : 1623 - 1638
  • [47] GBS OPERATORS OF DURRMEYER-STANCU TYPE
    Pop, Ovidiu T.
    Barbosu, Dan
    MISKOLC MATHEMATICAL NOTES, 2008, 9 (01) : 53 - 60
  • [48] Approximation by a complex q-Baskakov-Stancu operator in compact disks
    Dilek Söylemez Özden
    Didem Aydın Arı
    Journal of Inequalities and Applications, 2014
  • [49] Approximation by a complex q-Baskakov-Stancu operator in compact disks
    Ozden, Dilek Soylemez
    Ari, Didem Aydin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [50] Approximation by a complex summation-integral type operators in compact disks
    Ren, Mei-Ying
    Zeng, Xiao-Ming
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (03) : 439 - 450
12345