Abstract

In this study, it is proposed to define bivariate Chlodowsky variant of (p,q)-Bernstein-Stancu-Schurer operators. Therefore, Korovkin-type approximation theorems and the error of approximation by using full modulus of continuity are presented. Beside this, we introduce a generalization of the bivariate Chlodowsky variant of (p,q)-Bernstein-Stancu-Schurer operators and investigate its approximation in more general weighted space. Moreover, the numerical results are discussed in order to validate the accuracy of the bivariate Chlodowsky variant of (p,q)-Bernstein-Schurer operators.

Highlights

  • IntroductionInteger [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25] were studied

  • It may not be possible to find the exact solution for the models developed for the engineering fields because of its mathematical intractability

  • These operators can be used effectively to find an algorithm for approximating solutions [26]

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Summary

Introduction

Integer [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25] were studied. In 2017, Vedi and Ozarslan defined the two dimensional Chlodowsky variant of q-Bernstein-Schurer-Stancu operators in [28] by. Gemikonakli and Vedi-Dilek [29] introduced the Chlodowsky variant of Bernstein-Schurer operators based on (p, q)-integers as.

Construction of the Operators
Korovkin-Type Approximation Theorems
Order of Convergence δn2 fl
Numerical Results and Discussions
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