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This article is cited in 2 scientific papers (total in 2 papers)
Optimal interpolation of differentiable periodic functions with bounded higher derivative
V. L. Velikin
Dnepropetrovsk State University
Abstract:
The problem of the optimal recovery of functions from the set $W_M^r$ is considered. It is shown, in particular, that for such recovery the use of information about the values of the function at $2n$ points gives the error in the norm of the space $C$ two times, and $\pi K_r/(2K_{r+1})$ times ($K_r$ is the Favard constant) in the norm of the space $L$, less than that by the use of the information about the values of the function and its derivatives at $n$ points.
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Mathematical Notes, 1977, 22:5, 860–865
Bibliographic databases:
 
UDC:
517.5
Received: 16.02.1976
Citation:
V. L. Velikin, “Optimal interpolation of differentiable periodic functions with bounded higher derivative”, Mat. Zametki, 22:5 (1977), 663–670; Math. Notes, 22:5 (1977), 860–865
Citation in format AMSBIB
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\by V.~L.~Velikin
\paper Optimal interpolation of differentiable periodic functions with bounded higher derivative
\jour Mat. Zametki
\yr 1977
\vol 22
\issue 5
\pages 663--670
\mathnet{http://mi.mathnet.ru/mz8090}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=467085}
\zmath{https://zbmath.org/?q=an:0364.41003}
\transl
\jour Math. Notes
\yr 1977
\vol 22
\issue 5
\pages 860--865
\crossref{https://doi.org/10.1007/BF01098350}
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http://mi.mathnet.ru/eng/mz8090 http://mi.mathnet.ru/eng/mz/v22/i5/p663
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This publication is cited in the following articles:
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B. D. Boyanov, “The optimal recovery of smooth functions”, Math. USSR-Sb., 69:2 (1991), 357–377
   -
S. P. Sidorov, “Optimal Recovery of Linear Functionals on Sets of Finite Dimension”, Math. Notes, 84:4 (2008), 561–567
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