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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 1921–1942
DOI: https://doi.org/10.33048/semi.2020.17.129 (Mi semr1323) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Real, complex and functional analysis

Efficient computation of Favard constants and their connection to Euler polynomials and numbers

Yu. S. Volkov

Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2020.17.129
Abstract: We discuss problems of calculating the Favard constants, which are often used in approximation theory and their connection to Euler numbers and polynomials. Simple effective recurrence formulas for computation of the Favard constants are found. The application of the results to one problem of extremal functional interpolation allowing the solution to be expressed in an explicit form is demonstrated.
Keywords: Favard constants, Euler numbers, Euler polynomials, recurrence formulas, approximation theory.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 0314-2016-0013
Russian Foundation for Basic Research 19-51-12008
The research was carried out within the framework of the state contract of the Sobolev Institute of Mathematics SB RAS (project № 0314-2016-0013) and with partial finacial support of RFBR и German Research Foundation (project № 19-51-12008).
Received October 5, 2020, published November 25, 2020
Bibliographic databases:
Document Type: Article
UDC: 517.589
MSC: 11B68
Language: English
Citation: Yu. S. Volkov, “Efficient computation of Favard constants and their connection to Euler polynomials and numbers”, Sib. Èlektron. Mat. Izv., 17 (2020), 1921–1942
Citation in format AMSBIB
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\by Yu.~S.~Volkov
\paper Efficient computation of Favard constants and their connection to Euler polynomials and numbers
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 1921--1942
\mathnet{http://mi.mathnet.ru/semr1323}
\crossref{https://doi.org/10.33048/semi.2020.17.129}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000593964500001}
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  • https://www.mathnet.ru/eng/semr1323
  • https://www.mathnet.ru/eng/semr/v17/p1921
    • This publication is cited in the following articles:
    1. Yu. S. Volkov, “Mnogochleny Eilera v zadache ekstremalnoi funktsionalnoi interpolyatsii v srednem”, Tr. IMM UrO RAN, 26, no. 4, 2020, 83–97  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
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    References:11
     
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