Approximation by Bivariate(p, q)-Bernstein-Schurer-Kantorovich Operators

ZHA Xing-xing; LIU Xiang-guo; WANG Xiao-yan

doi:10.12152/j.issn.1672-2868.2019.06.008

Journal of Chaohu University >

2019 , Vol. 21 >Issue 6: 59 - 64

DOI: https://doi.org/10.12152/j.issn.1672-2868.2019.06.008

Approximation by Bivariate(p, q)-Bernstein-Schurer-Kantorovich Operators

ZHA Xing-xing ,
LIU Xiang-guo ,
WANG Xiao-yan

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School of Mathematics and Statistics, Chaohu University

ZHA Xing-xing：School of Mathematics and Statistics, Chaohu University

Received date: 2019-06-23

Online published: 2019-11-25

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Abstract

In this paper, we use the bivariate（p，q）-Riemann integral to construct the bivariate （p，q）- Bernstein-Schurer-Kantorovich operator, and prove the uniform convergence of the bivariate operator. The approximation speed of the binary function under special conditions is discussed, which further promotes some approximation conclusions of the unary operator.

Key words： bivariate（p; q）-Bernstein-Schurer-Kantorovich operators; bivariate（p; q）-Riemann integral; the modulus of continuity

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ZHA Xing-xing , LIU Xiang-guo , WANG Xiao-yan . Approximation by Bivariate(p, q)-Bernstein-Schurer-Kantorovich Operators[J]. Journal of Chaohu University, 2019 , 21(6) : 59 -64 . DOI: 10.12152/j.issn.1672-2868.2019.06.008

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