Overiteration of d-variate tensor product Bernstein operators: A quantitative result

Extending an earlier estimate for the degree of approximation of overiterated univariate Bernstein operators towards the same operator of degree one, it is shown that an analogous result holds in the d-variate case. The method employed can be carried over to many other cases and is not restricted to Bernsteintype or similar methods.

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Publication Details

Journal
Studia Universitatis Babes-Bolyai Matematica
Published
2024-12-15
DOI
https://doi.org/10.24193/subbmath.2024.4.13
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

Overiteration of d-variate tensor product Bernstein operators: A quantitative result

Ana Maria Acu, Heiner Gonska
Studia Universitatis Babes-Bolyai Matematica
Approximation Theory and Sequence Spaces
article

Overiteration of d-variate tensor product Bernstein operators: A quantitative result

Ana Maria Acu, Heiner Gonska
article en

Abstract

Extending an earlier estimate for the degree of approximation of overiterated univariate Bernstein operators towards the same operator of degree one, it is shown that an analogous result holds in the d-variate case. The method employed can be carried over to many other cases and is not restricted to Bernsteintype or similar methods.

Studia Universitatis Babes-Bolyai MatematicaVol. 69(4)
Lucian Blaga University of Sibiu (RO), University of Duisburg-Essen (DE)
Openalex Percentile: Top 76%
Approximation Theory and Sequence Spaces
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