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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) Russian version article
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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
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”, 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
\jour Math. USSR-Sb.
\yr 1992
\vol 71
\issue 1
\pages 81--99
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    • 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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