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Mathematics of the USSR-Sbornik, 1992, Volume 71, Issue 1, Pages 81–99
DOI: https://doi.org/10.1070/SM1992v071n01ABEH001392 (Mi sm1223) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On the approximation of functions by interpolating splines defined on nonuniform nets

A. Yu. Shadrin

Dorodnitsyn Computing Centre of the Russian Academy of Sciences
English version PDF (848 kB) Citations (9)
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DOI: https://doi.org/10.1070/SM1992v071n01ABEH001392
Abstract: New results are obtained on the approximation of elements of Sobolev classes $W_p^l$ in the $L_q$ metric by interpolating splines of order $2m-1$ and deficiency 1, defined on nonuniform nets $\Delta_n$. The results are stated in terms of global and local properties of $\Delta_n$, and depend mainly on an integral representation of the error.
Received: 06.09.1988 and 25.04.1990
Russian version:
Matematicheskii Sbornik, 1990, Volume 181, Number 9, Pages 1236–1255
Bibliographic databases:
UDC: 517.51
MSC: 41A15, 41A05
Language: English
Original paper language: Russian
Citation: A. Yu. Shadrin, “On the approximation of functions by interpolating splines defined on nonuniform nets”, Mat. Sb., 181:9 (1990), 1236–1255; Math. USSR-Sb., 71:1 (1992), 81–99
Citation in format AMSBIB
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\by A.~Yu.~Shadrin
\paper On the approximation of~functions by interpolating splines defined on nonuniform nets
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\yr 1990
\vol 181
\issue 9
\pages 1236--1255
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\transl
\jour Math. USSR-Sb.
\yr 1992
\vol 71
\issue 1
\pages 81--99
\crossref{https://doi.org/10.1070/SM1992v071n01ABEH001392}
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  • https://www.mathnet.ru/eng/sm/v181/i9/p1236
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
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    Abstract page:556
    Russian version PDF:182
    English version PDF:17
    References:74
    First page:1
     
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