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Studia Scientiarum Mathematicarum Hungarica
Article . 2003 . Peer-reviewed
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https://dx.doi.org/10.1556/ssc...
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Asymptotic constants for multivariate Bernstein polynomials

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2003Publisher:Akademiai Kiado Zrt.Journal:Studia Scientiarum Mathematicarum Hungarica, volume 40, pages 59-69 (issn: 0081-6906, eissn: 1588-2896, Copyright policy )
Authors: Mathé, P.;

doi: 10.1556/sscmath.40.2003.1-2.5

Asymptotic constants for multivariate Bernstein polynomials

Abstract

We study the rate of convergence of multivariate Bernstein polynomials on the class of Hölder continuous functions. Using a proper probabilistic representation we are able to derive the asymptotic constant.

Keywords

convergence, multivariate Bernstein polynomials, Approximation by positive operators, Rate of convergence, degree of approximation, Best constants in approximation theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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