Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2006, Volume 9, Number 2, Pages 165–172 (Mi sjvm110)  
This article is cited in 2 scientific papers (total in 2 papers)

Periodic interpolation with a minimum norm of the $m$-th derivative

S. I. Novikov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
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Abstract: In this paper, the interpolation problem for periodic data with a bounded lp-norm is investigated for an interpolating set of smooth periodic functions. In the cases when $p=2$ and $p=\infty$, the exact values of the $L_p$-norms of the $m$-th derivative of the best interpolants are found for a certain class of sequences.
Key words: interpolation, spline, extremal problem.
Received: 14.06.2005
UDC: 519.652
Language: Russian
Citation: S. I. Novikov, “Periodic interpolation with a minimum norm of the $m$-th derivative”, Sib. Zh. Vychisl. Mat., 9:2 (2006), 165–172
Citation in format AMSBIB
\Bibitem{Nov06}
\by S.~I.~Novikov
\paper Periodic interpolation with a minimum norm of the $m$-th derivative
\jour Sib. Zh. Vychisl. Mat.
\yr 2006
\vol 9
\issue 2
\pages 165--172
\mathnet{http://mi.mathnet.ru/sjvm110}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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