The Error of Approximation of Differentiable Functions of Several Variables by Means of Interpolatory Shape-Preserving Operators

被引：0

作者：

Sidorov, S. P. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Chair Math Econ, Saratov, Russia

来源：

IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA | 2009年 / 9卷 / 04期

关键词：

shape-preserving approximation; optimal interpolation;

D O I：

10.18500/1816-9791-2009-9-4-1-49-52

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：49 / 52

页数：4

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