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

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

Abstract In this paper, we introduce a family of GBS $GBS$ 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...

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Bibliographic Details
Main Authors: Qing-Bo Cai, Guorong Zhou
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Journal of Inequalities and Applications
Subjects:
B-continuous functions
B-differentiable functions
G B S $GBS$ operators
Bernstein–Kantorovich operators
Mixed modulus of smoothness
Online Access:http://link.springer.com/article/10.1186/s13660-018-1862-0

Internet

http://link.springer.com/article/10.1186/s13660-018-1862-0

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