ON CERTAIN q-BASKAKOV-DURRMEYER OPERATORS

被引:1
|
作者
Gairola, Asha R. [1 ]
Dobhal, Girish [1 ]
Singh, Karunesh K. [2 ]
机构
[1] Graph Era Univ, Dept Comp Applicat, Dehra Dun 248001, Uttar Pradesh, India
[2] Indian Inst Technol, Dept Math, Roorkee 247667, Uttarakhand, India
来源
MATEMATICHE | 2011年 / 66卷 / 02期
关键词
q-integer; Baskakov-beta operators; Ditzian-Totik modulus of smoothness;
D O I
10.4418/2011.66.2.6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we introduce a q-analogue of Baskakaov-beta operators. We establish Voronovskaja-type theorem and obtain local error estimates by these q operators in uniform norm by using the Ditzian-Totik weighted modulus of smoothness for 0 < q < 1 .
引用
收藏
页码:61 / 76
页数:16
相关论文
共 50 条
  • [21] Durrmeyer type modification of generalized Baskakov operators
    Erencin, Aysegul
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (08) : 4384 - 4390
  • [22] A NOTE ON α-BASKAKOV-DURRMEYER-TYPE OPERATORS
    Kaur, Jaspreet
    Goyal, Meenu
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023, 53 (05) : 1511 - 1524
  • [23] Genuine link Baskakov-Durrmeyer operators
    Gupta, Vijay
    Malik, Neha
    GEORGIAN MATHEMATICAL JOURNAL, 2018, 25 (01) : 25 - 40
  • [24] APPROXIMATION FOR MODIFIED BASKAKOV DURRMEYER TYPE OPERATORS
    Gupta, Vijay
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2009, 39 (03) : 825 - 841
  • [25] 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
  • [26] Approximation by the Durrmeyer-Baskakov-Stancu Operators
    Mishra, Vishnu Narayan
    Patel, Prashantkumar
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2013, 34 (03) : 272 - 281
  • [27] Generalized Bivariate Baskakov Durrmeyer Operators and Associated GBS Operators
    Rani, Mamta
    Rao, Nadeem
    Malik, Pradeep
    FILOMAT, 2022, 36 (05) : 1539 - 1555
  • [28] ON SIMULTANEOUS APPROXIMATION BY THE METHOD OF BASKAKOV-DURRMEYER OPERATORS
    HEILMANN, M
    MULLER, MW
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1989, 10 (1-2) : 127 - 138
  • [29] On Simultaneous Approximation of Modified Baskakov-Durrmeyer Operators
    Patel, Prashantkumar G.
    Mishra, Vishnu Narayan
    INTERNATIONAL JOURNAL OF ANALYSIS, 2015,
  • [30] Approximation by multivariate Baskakov–Durrmeyer operators in Orlicz spaces
    Ling-Xiong Han
    Yu-Mei Bai
    Feng Qi
    Journal of Inequalities and Applications, 2023