Bivariate tensor product (<i>p</i>, <i>q</i>)-analogue of Kantorovich-type Bernstein-Stancu-Schurer operators

作     者：Cai, Qing-Bo Xu, Xiao-Wei Zhou, Guorong 

作者机构：Quanzhou Normal Univ Sch Math & Comp Sci Quanzhou 362000 Peoples R China Xiamen Univ Sch Math Sci Xiamen 361005 Peoples R China Rice Univ Comp Sci Houston TX USA Xiamen Univ Technol Sch Appl Math Xiamen 361024 Peoples R China 

出 版 物：《JOURNAL OF INEQUALITIES AND APPLICATIONS》 (J. Inequal. Appl.)

年 卷 期：2017年第2017卷第1期

页      面：1页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：National Natural Science Foundation of China [11601266, 11626201] Natural Science Foundation of Fujian Province of China [2016J05017] Program for New Century Excellent Talents in Fujian Province University 

主　　题：(p, q)-integers Bernstein-Stancu-Schurer operators modulus of continuity Lipschitz continuous functions bivariate tensor product 

摘      要：In this paper, we construct a bivariate tensor product generalization of Kantorovich-type Bernstein-Stancu-Schurer operators based on the concept of (p, q)-integers. We obtain moments and central moments of these operators, give the rate of convergence by using the complete modulus of continuity for the bivariate case and estimate a convergence theorem for the Lipschitz continuous functions. We also give some graphs and numerical examples to illustrate the convergence properties of these operators to certain functions.