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A NOTE ON THE GENERALIZED BERNSTEIN POLYNOMIALS

A note on the generalized Bernstein polynomials
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 25 Sep 2011 France English Publisher:The Homan Mathematical SocietyJournal:Honam Mathematical Journal, volume 33, pages 431-439 (issn: 1225-293X, Copyright policy )
Authors: Bayad, Abdelmejid; Kim, T.; Lee, S.H.; Dolgy, D.V.;

doi: 10.5831/hmj.2011.33.3.431

A NOTE ON THE GENERALIZED BERNSTEIN POLYNOMIALS

Abstract

Summary: We prove two identities for multivariate Bernstein polynomials on simplices. In this paper, we study good approximations of Bernstein polynomials for every continuous function on simplices and the higher dimensional \(q\)-analogues of Bernstein polynomials on simplices.

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Keywords

Multivariate analysis, Probability distributions: general theory, [MATH] Mathematics [math], Bernstein polynomials, [MATH]Mathematics [math], simplex, Approximations to statistical distributions (nonasymptotic)

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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!
3
Average
Average
Average
gold
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