For citation:
Sidorov S. P. The Error of Approximation of Differentiable Functions of Several Variables by Means of Interpolatory Shape-Preserving Operators. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, vol. 9, iss. 4, pp. 49-52. DOI: 10.18500/1816-9791-2009-9-4-1-49-52
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
23.11.2009
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Language:
Russian
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UDC:
517.518.85
The Error of Approximation of Differentiable Functions of Several Variables by Means of Interpolatory Shape-Preserving Operators
Autors:
Sidorov Sergei Petrovich, Saratov State University
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 linearinterpolation operators, which preserve the properties of positivity and convexity of approximated functions.
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