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Mathematical Notes
Article . 1986 . Peer-reviewed
License: Springer TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 1986
Data sources: zbMATH Open
https://dx.doi.org/10.1007/bf0...
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Uniqueness of the best approximation in mean of vector-valued functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1986 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 39, pages 183-189 (issn: 0001-4346, eissn: 1573-8876, Copyright policy )
Authors: Garkavi, A. L.;

doi: 10.1007/bf01170245

Uniqueness of the best approximation in mean of vector-valued functions

Abstract

The problem of uniqueness of an element of best mean approximation of continuous vector-valued functions is studied. The main result of this paper consists in the generalization of Jackson's theorem about uniqueness of best mean approximation in the case of convex Banach space.

Keywords

Best approximation, Chebyshev systems, vector-valued functions, convex Banach space, Jackson's theorem, Uniqueness of best approximation, element of best mean approximation

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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.
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