Generalized weighted Stechkin-Marchaud-type inequalities for Baskakov-Durrmeyer operators

被引：1
|
作者：
Guo, Feng [1 ]
机构：
[1] Taizhou Univ, Dept Math, Taizhou 317000, Zhejiang, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 396卷 / 01期
关键词：
Baskakov-Durrmeyer operators; Stechkin-Marchaud-type inequality; K-functional; Weighted modulus of smoothness; STRONG CONVERSE INEQUALITIES;
D O I：
10.1016/j.jmaa.2012.06.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce new weighted modulus of smoothness omega(2)(phi beta)(f; t)(omega.lambda) and prove the generalization of Stechkin-Marchaud-type inequalities of weighted approximation for Baskakov-Durrmeyer operators, from which the inverse results of Baskakov-Durrmeyer operators with omega(2)(phi beta)(f; t)(omega.lambda) are obtained. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：49 / 57
页数：9
相关论文
共 50 条
  • [1] STECHKIN-MARCHAUD-TYPE INEQUALITIES OF WEIGHTED APPROXIMATION FOR BASKAKOV OPERATORS
    Guo, Feng
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (02): : 487 - 497
  • [2] Stechkin-Marchaud-type inequalities for Baskakov polynomials
    Guo, SS
    Tong, HZ
    Zhang, GS
    JOURNAL OF APPROXIMATION THEORY, 2002, 114 (01) : 33 - 47
  • [3] Generalized Baskakov-Durrmeyer type operators
    Agrawal P.N.
    Gupta V.
    Sathish Kumar A.
    Rendiconti del Circolo Matematico di Palermo (1952 -), 2014, 63 (2): : 193 - 209
  • [4] Stechkin-marchaud-type inequalities with Jacobi weights for Bernstein operators
    Wang J.
    Xue Y.
    Li F.
    Journal of Applied Mathematics and Computing, 2007, 24 (1-2) : 343 - 355
  • [5] Baskakov-Durrmeyer type operators involving generalized Appell Polynomials
    Neer, Trapti
    Acu, Ana Maria
    Agrawal, P. N.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (06) : 2911 - 2923
  • [6] Local approximation by generalized Baskakov-Durrmeyer operators
    Abel, Ulrich
    Ivan, Mircea
    Li, Zhongkai
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2007, 28 (3-4) : 245 - 264
  • [7] Asymptotic formulas for generalized Baskakov-Durrmeyer operators
    Ada, Guelsuem Ulusoy
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (18) : 7528 - 7536
  • [8] α-Baskakov-Durrmeyer type operators and their approximation properties
    Rao, Nadeem
    Malik, Pradeep
    FILOMAT, 2023, 37 (03) : 935 - 948
  • [9] Stancu Type Baskakov-Durrmeyer Operators and Approximation Properties
    Kilicman, Adem
    Mursaleen, Mohammad Ayman
    Al-Abied, Ahmed Ahmed Hussin Ali
    MATHEMATICS, 2020, 8 (07)
  • [10] ON APPROXIMATION OF BASKAKOV-DURRMEYER TYPE OPERATORS OF TWO VARIABLES
    Yuksel, Ismet
    Dinlemez, Ulku
    Altin, Birol
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2016, 78 (01): : 123 - 134
12345