On the Constants in VidenskiA Type Inequalities for Bernstein Operators

被引：3

作者：

Cardenas-Morales, Daniel ^{[1
]}

机构：

[1] Univ Jaen, Dept Matemat, Jaen 23071, Spain

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 03期

关键词：

Bernstein operators; central moments; Videnskii's inequality; Voronovskaja formula; modulus of continuity; APPROXIMATION;

D O I：

10.1007/s00025-017-0707-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the approximation of functions by Bernstein operators. Specifically, the interest is mainly focused on the constants in VidenskiA type inequalities, which turn out to be quantitative versions of the well known Voronovskaja formula. The central moments of the even orders 6 and 8 play a key role. New upper bounds for them are proved.

引用

页码：1437 / 1448

页数：12

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