Approximation by the modified λ-Bernstein-polynomial in terms of basis function

Approximation by the modified λ-Bernstein-polynomial in terms of basis function

In this article by means of shifted knots properties, we introduce a new type of coupled Bernstein operators for Bézier basis functions. First, we construct the operators based on shifted knots properties of Bézier basis functions then investigate the Korovkin's theorem, establish a local appro...

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Bibliographic Details
Main Authors: Mohammad Ayman-Mursaleen, Md. Nasiruzzaman, Nadeem Rao, Mohammad Dilshad, Kottakkaran Sooppy Nisar
Format: Article
Language:English
Published: AIMS Press 2024-01-01
Series:AIMS Mathematics
Subjects:
bernstein-polynomial
$ \lambda $-bernstein-polynomial
bézier basis function
shifted knots
modulus of continuity
lipschitz maximal functions
peetre's $ k $-functional
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024217?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2024217?viewType=HTML

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