Approximation theorems for localized szasz-Mirakjan operators

被引:5
|
作者
Xie, Linsen [1 ]
Xie, Tingfan [2 ]
机构
[1] Lishui Univ, Dept Math, Lishui 323000, Zhejiang, Peoples R China
[2] China Jiliang Univ, Dept Math, Hangzhou 310000, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
localization; Szasz-Mirakjan operators; convergence; approximation order;
D O I
10.1016/j.jat.2007.11.003
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper, we investigate the convergence and the approximation order of the localized Szasz-Mirakjan operators, and obtain some new results to improve the results due to Omey [Note on operators of Szasz-Mirakjan type, J. Approx. Theory 47 (1986) 246-254]. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:125 / 134
页数:10
相关论文
共 50 条
  • [21] Direct Result for a Summation-Integral Type Modification of Szasz-Mirakjan Operators
    Mishra, Vishnu Narayan
    Gandhi, R. B.
    ANALYSIS IN THEORY AND APPLICATIONS, 2020, 36 (02) : 217 - 224
  • [22] APPROXIMATION BY GENERALIZED SZASZ-MIRAKJAN-KANTOROVICH TYPE OPERATORS
    Qasim, Mohd
    Mursaleen, M.
    Abbas, Zaheer
    Khan, Asif
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2022, 111 (125): : 89 - 99
  • [23] APPROXIMATION BY SZASZ-MIRAKJAN-DURRMEYER OPERATORS BASED ON SHAPE PARAMETER λ
    Aslan, Resat
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2022, 71 (02): : 407 - 421
  • [24] Approximation Properties of Some Modified Szasz-Mirakjan-Kantorovich Operators
    Yadav, R.
    Meher, R.
    Mishra, V. N.
    NUMERICAL ANALYSIS AND APPLICATIONS, 2022, 15 (02) : 170 - 185
  • [25] Simultaneous approximation by Szasz-Mirakjan-Stancu-Durrmeyer type operators
    Mishra, Vishnu Narayan
    Gandhi, R. B.
    PERIODICA MATHEMATICA HUNGARICA, 2017, 74 (01) : 118 - 127
  • [26] ON APPROXIMATION PROPERTIES OF STANCU VARIANT λ-SZASZ-MIRAKJAN-DURRMEYER OPERATORS
    Aslan, Resat
    Rathour, Laxmi
    KOREAN JOURNAL OF MATHEMATICS, 2022, 30 (03): : 539 - 553
  • [27] Approximation Theorems for Localized Baskakov Operators
    Xie, Linsen
    Xie, Tingfan
    Du, Hong
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021, 42 (04) : 396 - 408
  • [28] Statistical approximation of a kind of Kantorovich type q-Szasz-Mirakjan operators
    Orkcu, Mediha
    Dogru, Ogun
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (05) : 2874 - 2882
  • [29] Approximation properties of bivariate extension of q-Szasz-Mirakjan-Kantorovich operators
    Orkcu, Mediha
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [30] Weighted statistical approximation by kantorovich type q-Szasz-Mirakjan operators
    Orkcu, Mediha
    Dogru, Ogun
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (20) : 7913 - 7919