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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, Volume 9, Issue 4(1), Pages 49–52
DOI: https://doi.org/10.18500/1816-9791-2009-9-4-1-49-52 (Mi isu76) 		 
Mathematics

The error of approximation of differentiable functions of several variables by means of interpolatory shape preserving operators

S. P. Sidorov

Saratov State University, Chair of Mathematical Economics
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DOI: https://doi.org/10.18500/1816-9791-2009-9-4-1-49-52
Abstract: The article deals with the estimation of the error of uniform approximation of differentiable functions of several variables with limited second derivations by means of linear interpolation operators, which preserve the properties of positivity and convexity of approximated functions.
Key words: shape-preserving approximation, optimal interpolation.
Document Type: Article
UDC: 517.518.85
Language: Russian
Citation: S. P. Sidorov, “The error of approximation of differentiable functions of several variables by means of interpolatory shape preserving operators”, Izv. Saratov Univ. Math. Mech. Inform., 9:4(1) (2009), 49–52
Citation in format AMSBIB
\Bibitem{Sid09}
\by S.~P.~Sidorov
\paper The error of approximation of differentiable functions of several variables by means of interpolatory shape preserving operators
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2009
\vol 9
\issue 4(1)
\pages 49--52
\mathnet{http://mi.mathnet.ru/isu76}
\crossref{https://doi.org/10.18500/1816-9791-2009-9-4-1-49-52}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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