ON THE COMPOSITION AND DECOMPOSITION OF POSITIVE LINEAR OPERATORS (II)

被引：5

作者：

Gonska, Heiner ^{[1
]}

Rasa, Ioan ^{[2
]}

机构：

[1] Univ Duisburg Essen, Dept Math, D-47048 Duisburg, Germany

[2] Tech Univ, Dept Math, RO-400020 Cluj Napoca, Romania

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2010年 / 47卷 / 04期

关键词：

Piecewise linear interpolation; Bernstein-type operators; decomposability; indecomposability; central moments; absolute moments; genuine Bernstein-Durrmeyer operators; Stancu operators; Beta-type operators;

D O I：

10.1556/SScMath.2009.1144

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This note discusses the indecomposability and decomposability of certain operators occurring frequently in approximation theory: piecewise linear interpolation and Bernstein-type operators. The second topic includes the central (absolute) moments of the composition of two operators and their asymptotic behavior.

引用

页码：448 / 461

页数：14

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