Approximation of Functions by Baskakov-Kantorovich Operator

被引:9
|
作者
Gadjev, Ivan [1 ]
机构
[1] Univ Sofia, Dept Math & Informat, 5 James Bourchier Blvd, Sofia 1164, Bulgaria
关键词
Baskakov-Kantorovich operator; K-functional; Direct theorem; Strong converse theorem; STRONG CONVERSE INEQUALITY;
D O I
10.1007/s00025-016-0554-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We characterize the approximation of functions in L-p norm by Baskakov-Kantorovich operator. We define an appropriate K-functional and prove a direct and strong converse inequality of type B in terms of the K-functional.
引用
收藏
页码:385 / 400
页数:16
相关论文
共 50 条
  • [1] Approximation of Functions by Baskakov-Kantorovich Operator
    Ivan Gadjev
    Results in Mathematics, 2016, 70 : 385 - 400
  • [2] Weighted approximation of functions in Lp-norm by Baskakov-Kantorovich operator
    P. E. Parvanov
    Analysis Mathematica, 2020, 46 : 821 - 842
  • [3] Weighted approximation of functions in Lp-norm by Baskakov-Kantorovich operator
    Parvanov, P. E.
    ANALYSIS MATHEMATICA, 2020, 46 (04) : 821 - 842
  • [4] Lp approximation by multivariate Baskakov-Kantorovich operators
    Cao, Feilong
    Ding, Chunmei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (02) : 856 - 861
  • [5] Baskakov-Kantorovich operators reproducing affine functions
    Bustamante, Jorge
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2021, 66 (04): : 739 - 756
  • [6] Approximation by bivariate (p, q)-Baskakov-Kantorovich operators
    Ilarslan, Hatice Gul Ince
    Acar, Tuncer
    GEORGIAN MATHEMATICAL JOURNAL, 2018, 25 (03) : 397 - 407
  • [7] APPROXIMATION BY MULTIVARIATE BASKAKOV-KANTOROVICH OPERATORS IN ORLICZ SPACES
    Han, Ling-Xiong
    Li, Wen-Hui
    Qi, Feng
    ELECTRONIC RESEARCH ARCHIVE, 2020, 28 (02): : 721 - 738
  • [8] Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the q-integers
    Mahmudov, Nazim I.
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2010, 8 (04): : 816 - 826
  • [9] Approximation by Some Baskakov-Kantorovich Exponential-Type Operators
    Ozsarac, Firat
    Gupta, Vijay
    Aral, Ali
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (01) : 227 - 241
  • [10] Preservation properties of the Baskakov-Kantorovich operators
    Zhang, Chungou
    Zhu, Zhihui
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (09) : 1450 - 1455