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Matematicheskie Zametki, 2021, Volume 109, Issue 1, Pages 19–26
DOI: https://doi.org/10.4213/mzm12736 (Mi mzm12736) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A Chebyshev-Type Theorem Characterizing Best Approximation of a Continuous Function by Elements of the Sum of Two Algebras

A. Kh. Askarova, V. È. Ismailov

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
Full-text PDF (448 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm12736
Abstract: In the paper, we consider the problem of uniform approximation of a continuous function defined on a compact metric space X by elements of the sum of two algebras in the space of all continuous functions on X. We prove a Chebyshev-type theorem for characterization of best approximation.
Keywords: function algebra, best approximation, lightning bolt, extremal lightning bolt.
Received: 26.03.2020
Revised: 02.09.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 1, Pages 15–20
DOI: https://doi.org/10.1134/S0001434621010028
Bibliographic databases:
Document Type: Article
UDC: 517.5
PACS: 517.5
Language: Russian
Citation: A. Kh. Askarova, V. È. Ismailov, “A Chebyshev-Type Theorem Characterizing Best Approximation of a Continuous Function by Elements of the Sum of Two Algebras”, Mat. Zametki, 109:1 (2021), 19–26; Math. Notes, 109:1 (2021), 15–20
Citation in format AMSBIB
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\transl
\jour Math. Notes
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\pages 15--20
\crossref{https://doi.org/10.1134/S0001434621010028}
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  • https://www.mathnet.ru/eng/mzm12736
  • https://doi.org/10.4213/mzm12736
  • https://www.mathnet.ru/eng/mzm/v109/i1/p19
    • This publication is cited in the following 1 articles:
    1. A. Kh. Asgarova, A. A. Huseynli, V. E. Ismailov, “A Chebyshev-type alternation theorem for best approximation by a sum of two algebras”, Proceedings of the Edinburgh Mathematical Society, 66:4, 971–978  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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