Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 495, Pages 34–37
DOI: https://doi.org/10.31857/S2686954320060193 (Mi danma131) 		 
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

One problem of extremal functional interpolation and the Favard constants

Yu. S. Volkov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian Federation
Full-text PDF (157 kB) Citations (3)
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DOI: https://doi.org/10.31857/S2686954320060193
Abstract: For an extremal functional interpolation problem first considered by Yu.N. Subbotin, the explicit form of the extremal interpolation constants is calculated in terms of the Favard constants in the spaces $L_p$, $p=1,3/2,2$. Simple efficient recurrence formulas are obtained to calculate the Favard constants, and formulas for calculating these constants in terms of the Euler numbers are also given.
Keywords: interpolation, Favard constants, recurrence formulas, Euler numbers.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 0314–2016–0013
Russian Foundation for Basic Research 19–51–12008
This study was performed within the state assignment of the Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences (project no. 0314-2016-0013) and was supported in part by the Russian Foundation for Basic Research and the German Research Community (project no. 19-51-12008).
Presented: V. I. Berdyshev
Received: 01.06.2020
Revised: 01.10.2020
Accepted: 05.10.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 3, Pages 474–477
DOI: https://doi.org/10.1134/S1064562420060216
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: Yu. S. Volkov, “One problem of extremal functional interpolation and the Favard constants”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 34–37; Dokl. Math., 102:3 (2020), 474–477
Citation in format AMSBIB
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\by Yu.~S.~Volkov
\paper One problem of extremal functional interpolation and the Favard constants
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\pages 34--37
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\crossref{https://doi.org/10.31857/S2686954320060193}
\zmath{https://zbmath.org/?q=an:7424669}
\elib{https://elibrary.ru/item.asp?id=44367198}
\transl
\jour Dokl. Math.
\yr 2020
\vol 102
\issue 3
\pages 474--477
\crossref{https://doi.org/10.1134/S1064562420060216}
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    • This publication is cited in the following 3 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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