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Matematicheskie Zametki, 2007, Volume 82, Issue 5, Pages 736–755
DOI: https://doi.org/10.4213/mzm4086 (Mi mzm4086) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Extremal Problems for Numerical Series

A. I. Stepanets

Institute of Mathematics, Ukrainian National Academy of Sciences
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DOI: https://doi.org/10.4213/mzm4086
Abstract: In this paper, we consider extremal problems for numerical positive series. The terms of these series are pairwise products of the elements of two sequences, one of which is fixed and the other varies within a given set of sequences. We obtain exact solutions for a number of such problems. As one of the possible applications of the results obtained, we find solutions of some extremal problems related to best $n$-term approximations of periodic functions.
Keywords: numerical series, extremal problem for numerical series, best $n$-term approximation of periodic functions.
Received: 11.04.2006
English version:
Mathematical Notes, 2007, Volume 82, Issue 5, Pages 660–676
DOI: https://doi.org/10.1134/S0001434607110090
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. I. Stepanets, “Extremal Problems for Numerical Series”, Mat. Zametki, 82:5 (2007), 736–755; Math. Notes, 82:5 (2007), 660–676
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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