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Matematicheskie Zametki, 2016, Volume 99, Issue 2, Pages 248–261
DOI: https://doi.org/10.4213/mzm10672 (Mi mzm10672) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Conjugate Functions on the Closed Interval and Their Relationship with Uniform Rational and Piecewise Polynomial Approximations

T. S. Mardvilkoa, A. A. Pekarskiib

a Belarussian State University of Computer Science and Radioelectronic Engineering
b Belarusian State University, Minsk
Full-text PDF (559 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm10672
Abstract: Earlier the second author showed that, in the periodic case, the rate of best uniform rational approximations of a function is well described in terms of the rates of best uniform piecewise polynomial approximations of the function itself and its conjugate. In the present paper, a similar result is obtained for a closed interval.
Keywords: best uniform rational approximation of a function, best uniform piecewise polynomial approximation, $L_p$-modulus of smoothness, Besov space $B_p^\alpha$, Jordan curve, Szegö-type inequality.
Received: 10.02.2015
Revised: 30.06.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 2, Pages 272–283
DOI: https://doi.org/10.1134/S0001434616010296
Bibliographic databases:
Document Type: Article
UDC: 517.51+517.53
Language: Russian
Citation: T. S. Mardvilko, A. A. Pekarskii, “Conjugate Functions on the Closed Interval and Their Relationship with Uniform Rational and Piecewise Polynomial Approximations”, Mat. Zametki, 99:2 (2016), 248–261; Math. Notes, 99:2 (2016), 272–283
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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