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Sbornik Mathematics
Article . 1993 . Peer-reviewed
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APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS

Approximation of monotone functions by monotone polynomials
descriptionPublicationkeyboard_double_arrow_right Article 28 Feb 1993Publisher:Steklov Mathematical InstituteJournal:Russian Academy of Sciences. Sbornik Mathematics, volume 76, pages 51-64 (issn: 1064-5616, Copyright policy )
Authors: Igor A. Shevchuk;

doi: 10.1070/sm1993v076n01abeh003401

APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS

Abstract

The direct theorem of Nikolskij-type for monotone polynomial approximation of smooth monotone functions is proved. That result is an extension of classic direct theorems in approximation without constraint of A. F. Timan, V. K. Dzyadyk, G. Freud, Yu. A. Brudnyi.

Keywords

Approximation by polynomials, Approximation with constraints, monotone polynomial approximation, smooth monotone functions

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citations
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!
10
Average
Top 10%
Average
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