Approximation of Schurer type q-Bernstein-Kantorovich operators

被引：0
|
作者：
Mei-Ying Ren
Xiao-Ming Zeng
机构：
[1] Wuyi University,Department of Mathematics and Computer Science
[2] Xiamen University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
Schurer type ; -Bernstein-Kantorovich operators; Korovkin type approximation theorem; rate of convergence; -integers; modulus of continuity; 41A10; 41A25; 41A36;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a kind of Schurer type q-Bernstein-Kantorovich operators is introduced. The Korovkin type approximation theorem of these operators is investigated. The rates of convergence of these operators are also studied by means of the modulus of continuity and the help of functions of the Lipschitz class. Then, the global approximation property is given for these operators.
引用
收藏
相关论文
共 50 条
  • [1] Approximation of Schurer type q-Bernstein-Kantorovich operators
    Ren, Mei-Ying
    Zeng, Xiao-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, : 1 - 12
  • [2] Bivariate α,q-Bernstein-Kantorovich Operators and GBS Operators of Bivariate α,q-Bernstein-Kantorovich Type
    Cai, Qing-Bo
    Cheng, Wen-Tao
    Cekim, Bayram
    MATHEMATICS, 2019, 7 (12)
  • [3] Approximation Theorems for q-Bernstein-Kantorovich Operators
    Mahmudov, N. I.
    Sabancigil, P.
    FILOMAT, 2013, 27 (04) : 721 - 730
  • [4] APPROXIMATION PROPERTIES OF MODIFIED q-BERNSTEIN-KANTOROVICH OPERATORS
    Acu, Ana Maria
    Agrawal, P. N.
    Kumar, Dharmendra
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 2170 - 2197
  • [5] APPROXIMATION PROPERTIES FOR MODIFIED q-BERNSTEIN-KANTOROVICH OPERATORS
    Mursaleen, M.
    Khan, Faisal
    Khan, Asif
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2015, 36 (09) : 1178 - 1197
  • [6] Approximation properties for King's type modified q-Bernstein-Kantorovich operators
    Mursaleen, M.
    Khan, Faisal
    Khan, Asif
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (18) : 5242 - 5252
  • [7] q-Bernstein-Schurer-Kantorovich type operators
    Agrawal, P. N.
    Goyal, Meenu
    Kajla, Arun
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2015, 8 (03): : 169 - 180
  • [8] q-Bernstein-Schurer-Kantorovich type operators
    P. N. Agrawal
    Meenu Goyal
    Arun Kajla
    Bollettino dell'Unione Matematica Italiana, 2015, 8 (3) : 169 - 180
  • [9] Approximation properties of Kantorovich-type q-Bernstein-Stancu-Schurer operators
    Cai, Qing-Bo
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (05) : 847 - 859
  • [10] Statistical approximation of modified Schurer-type q-Bernstein Kantorovich operators
    Qiu Lin
    Journal of Inequalities and Applications, 2014
12345