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Journal of Mathematical Analysis and Applications
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Journal of Mathematical Analysis and Applications
Article . 2014 . Peer-reviewed
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Bernstein polynomial and discontinuous functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2014 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 411, pages 829-837 (issn: 0022-247X, Copyright policy )
Authors: Jorge Bustamante; Miguel A. García-Muñoz; José M. Quesada;

doi: 10.1016/j.jmaa.2013.10.024

Bernstein polynomial and discontinuous functions

Abstract

Abstract We obtain new estimates of the rate of convergence of Bernstein operators for discontinuous functions on [ 0 , 1 ] which can be used to derive known results for continuous functions and functions of bounded variation.

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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!
5
Average
Average
Average
hybrid