Weighted simultaneous approximation with Baskakov type operators

被引:52
|
作者
López-Moreno, AJ [1 ]
机构
[1] Univ Jaen, Dept Math, Jaen 23071, Spain
关键词
Baskakov operators; simultaneous approximation; weighted modulus of continuity;
D O I
10.1023/B:AMHU.0000034368.81211.23
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We obtain inequalities for the weighted approximation error of Baskakov type operators and their derivatives. Such inequalities are valid for functions of polynomial growth and are expressed in terms of weighted moduli of continuity.
引用
收藏
页码:143 / 151
页数:9
相关论文
共 50 条
  • [41] Approximation by the Parametric Generalization of Baskakov–Kantorovich Operators Linking with Stancu Operators
    S. A. Mohiuddine
    Naeem Ahmad
    Faruk Özger
    Abdullah Alotaibi
    Bipan Hazarika
    Iranian Journal of Science and Technology, Transactions A: Science, 2021, 45 : 593 - 605
  • [42] On Chlodowsky Variant of Baskakov Type Operators
    ?i?dem Atakut
    Ibrahim Büyükyaz?c?
    AnalysisinTheoryandApplications, 2018, 34 (04) : 323 - 335
  • [43] Approximation by Generalized Baskakov Kantorovich Operators of Arbitrary Order
    Nav Shakti Mishra
    Naokant Deo
    Bulletin of the Iranian Mathematical Society, 2022, 48 : 3839 - 3854
  • [44] Local approximation by generalized Baskakov-Durrmeyer operators
    Abel, Ulrich
    Ivan, Mircea
    Li, Zhongkai
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2007, 28 (3-4) : 245 - 264
  • [45] Approximation by Generalized Baskakov Kantorovich Operators of Arbitrary Order
    Mishra, Nav Shakti
    Deo, Naokant
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (06) : 3839 - 3854
  • [46] Pointwise simultaneous approximation for Baskakov quasi-interpolants
    H. Jiang
    L. Xie
    Acta Mathematica Hungarica, 2009, 125 : 209 - 226
  • [47] Pointwise simultaneous approximation for Baskakov quasi-interpolants
    Jiang, H.
    Xie, L.
    ACTA MATHEMATICA HUNGARICA, 2009, 125 (03) : 209 - 226
  • [48] Bezier-Baskakov-Beta Type Operators
    Kajlaa, Arun
    Ozgerb, Faruk
    Yadava, Jyoti
    FILOMAT, 2022, 36 (18) : 6735 - 6750
  • [49] Approximation by the Parametric Generalization of Baskakov-Kantorovich Operators Linking with Stancu Operators
    Mohiuddine, S. A.
    Ahmad, Naeem
    Ozger, Faruk
    Alotaibi, Abdullah
    Hazarika, Bipan
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2021, 45 (02): : 593 - 605
  • [50] Direct estimates in simultaneous approximation for Durrmeyer type operators
    Govil, N. K.
    Gupta, Vijay
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2007, 10 (02): : 371 - 379