Lower bound for the Lebesgue function of an interpolation process with algebraic polynomials on equidistant nodes of a simplex

被引：0

作者：

Baidakova, N. V. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Inst Math & Mech, Ural Branch, Ekaterinburg, Russia

[2] Ural Fed Univ, Ekaterinburg, Russia

来源：

MATHEMATICAL NOTES | 2012年 / 92卷 / 1-2期

基金：

俄罗斯基础研究基金会;

关键词：

interpolation process; equidistant nodes; algebraic polynomial; Lebesgue function; m-simplex; Lebesgue constant;

D O I：

10.1134/S0001434612070024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an interpolation process with algebraic polynomials of degree n on equidistant nodes of an m-simplex for m a parts per thousand yen 2, we obtain a pointwise lower bound for the Lebesgue function similar to the well-known estimate for interpolation on a closed interval.

引用

页码：16 / 22

页数：7

共 28 条

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