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Blending type approximation by GBS operators of bivariate tensor product of λ-Bernstein-Kantorovich type.

Authors :
Cai, Qing-Bo
Zhou, Guorong
Source :
Journal of Inequalities & Applications. 10/1/2018, Vol. 2018 Issue 1, p1-1. 1p.
Publication Year :
2018

Abstract

In this paper, we introduce a family of GBS<inline-graphic></inline-graphic> operators of bivariate tensor product of λ-Bernstein-Kantorovich type. We estimate the rate of convergence of such operators for B-continuous and B-differentiable functions by using the mixed modulus of smoothness, establish the Voronovskaja type asymptotic formula for the bivariate λ-Bernstein-Kantorovich operators, as well as give some examples and their graphs to show the effect of convergence. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10255834
Volume :
2018
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
132113212
Full Text :
https://doi.org/10.1186/s13660-018-1862-0