Construction of Bivariate Modified Bernstein-Chlodowsky Operators and Approximation Theorems

Abstract

In this paper, we modified Bernstein-Chlodowsky operators via weaker condition than the classical Bernstein-Chlodowsky operators’ condition. We get more powerful results than classical ones. We obtain aproximation properties for these positive linear operators and their generalizations in this work. The rate of convergence of these operators is calculated by means of the modulus of continuity and Lipschitz class of the functions of f of two variables. Finally, we give some concluding remarks with q-calculus.

Yıldız S., Şahin Bayram N. (2023) "Construction of Bivariate Modified Bernstein-Chlodowsky Operators and Approximation Theorems " Dolomites Research Notes on Approximation, 16(2), 64-71. DOI: 10.14658/PUPJ-DRNA-2023-2-8  
Year of Publication
2023
Journal
Dolomites Research Notes on Approximation
Volume
16
Issue Number
2
Start Page
64
Last Page
71
Date Published
01/2023
ISSN Number
2035-6803
Serial Article Number
8
DOI
10.14658/PUPJ-DRNA-2023-2-8
Issue
Section
SpecialIssue