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
  • [1] Some approximation properties of q-Baskakov-Durrmeyer operators
    Gupta, Vijay
    Aral, Ali
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (03) : 783 - 788
  • [2] Approximation by q-Baskakov-Durrmeyer Type Operators of Two Variables
    Yuksel, Ismet
    Dinlemez, Ulku
    Altin, Birol
    COMPUTATIONAL ANALYSIS, AMAT 2015, 2016, 155 : 195 - 209
  • [3] On certain Durrmeyer type q Baskakov operators
    Gupta V.
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2010, 56 (2) : 295 - 303
  • [4] INEQUALITIES AND NUMERICAL RESULTS OF APPROXIMATION FOR BIVARIATE q-BASKAKOV-DURRMEYER TYPE OPERATORS INCLUDING q-IMPROPER INTEGRAL
    Ozkan, Esma Yildiz
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2022, 16 (02): : 499 - 512
  • [5] Approximation by (p, q)-Baskakov–Durrmeyer–Stancu Operators
    Tuncer Acar
    S. A. Mohiuddine
    Mohammad Mursaleen
    Complex Analysis and Operator Theory, 2018, 12 : 1453 - 1468
  • [6] Approximation by q-Baskakov Durrmeyer type operators
    Agrawal, P. N.
    Kumar, A. Sathish
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2014, 63 (01) : 73 - 89
  • [7] (p, q)-Genuine Baskakov-Durrmeyer operators
    Gupta, Vijay
    Rassias, Th. M.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2016, 7 (02): : 69 - 76
  • [8] Approximation properties of q-Baskakov-Durrmeyer-Stancu operators
    Mishra V.N.
    Patel P.
    Mathematical Sciences, 2013, 7 (1)
  • [9] Convergence of modification of the Durrmeyer type q-Baskakov operators
    Cai, Qing-Bo
    Zeng, Xiao-Ming
    GEORGIAN MATHEMATICAL JOURNAL, 2012, 19 (01) : 49 - 61
  • [10] On the Durrmeyer type modification of the q-Baskakov type operators
    Aral, Ali
    Gupta, Vijay
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1171 - 1180