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Matematicheskie Zametki, 2003, Volume 74, Issue 6, Pages 902–912
DOI: https://doi.org/10.4213/mzm318 (Mi mzm318) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Element of Best Nonsymmetric Approximation in Spaces with Nonsymmetric Quasinorm

B. V. Simonov

Volgograd State Technical University
Full-text PDF (211 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm318
Abstract: In this paper, we prove an existence theorem for the element of best nonsymmetric approximation in spaces with nonsymmetric quasinorm. Examples showing the importance of the conditions embodied in the theorem are presented. A criterion for determining the element of best nonsymmetric approximation is given.
Received: 20.10.2000
Revised: 28.04.2003
English version:
Mathematical Notes, 2003, Volume 74, Issue 6, Pages 853–863
DOI: https://doi.org/10.1023/B:MATN.0000009022.34482.3e
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: B. V. Simonov, “On the Element of Best Nonsymmetric Approximation in Spaces with Nonsymmetric Quasinorm”, Mat. Zametki, 74:6 (2003), 902–912; Math. Notes, 74:6 (2003), 853–863
Citation in format AMSBIB
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\transl
\jour Math. Notes
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\pages 853--863
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Linking options:
  • https://www.mathnet.ru/eng/mzm318
  • https://doi.org/10.4213/mzm318
  • https://www.mathnet.ru/eng/mzm/v74/i6/p902
    • This publication is cited in the following 2 articles:
    1. Ştefan Cobzaş, Costică Mustăţa, “Best approximation in spaces with asymmetric norm”, J. Numer. Anal. Approx. Theory, 35:1 (2006), 17  crossref
    2. Ş. Cobzaş, C. Mustăţa, “Extension of bounded linear functionals and best approximation in spaces with asymmetric norm”, J. Numer. Anal. Approx. Theory, 33:1 (2004), 39  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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