Sharp Estimates of Asymptotic Error of Approximation by General Positive Linear Operators in Terms of the First and the Second Moduli of Continuity

被引：2

作者：

Paltanea, Radu ^{[1
]}

Smuc, Mihaela ^{[1
]}

机构：

[1] Transilvania Univ Brasov, Fac Math & Informat, 50 Iuliu Maniu St, Brasov 500091, Romania

来源：

RESULTS IN MATHEMATICS | 2019年 / 74卷 / 02期

关键词：

Asymptotic expansion; linear positive operators; order of approximation; moduli of continuity; best constants;

D O I：

10.1007/s00025-019-0997-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

There are obtained sharp quantitative results for asymptotic approximation by positive linear operators using the moments. The optimality of the constants that appear in these estimates is proven. The applications are given for the Bernstein operators.

引用

页数：17

共 45 条

[1] Sharp Estimates of Asymptotic Error of Approximation by General Positive Linear Operators in Terms of the First and the Second Moduli of Continuity
Radu Păltănea
Mihaela Smuc
[J]. Results in Mathematics, 2019, 74
[2] Estimates of positive linear operators in terms of second-order moduli
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