Blending type approximation by [Formula: see text] operators of bivariate tensor product of λ-Bernstein–Kantorovich type

In this paper, we introduce a family of [Formula: see text] 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 Voronovskaj...

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Detalles Bibliográficos
Autores principales: Cai, Qing-Bo, Zhou, Guorong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182413/
https://www.ncbi.nlm.nih.gov/pubmed/30363771
http://dx.doi.org/10.1186/s13660-018-1862-0
Descripción
Sumario:In this paper, we introduce a family of [Formula: see text] 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.

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