LAGRANGE-TYPE OPERATORS ASSOCIATED WITHnρ

被引：3

作者：

Gonska, Heiner ^{[1
]}

Rasa, Joan ^{[2
]}

Stanila, Elena-Donna ^{[1
]}

机构：

[1] Univ Duisburg Essen, Fac Math, D-47057 Duisburg, Germany

[2] Tech Univ Cluj Napoca, Dept Math, RO-400114 Cluj Napoca, Romania

来源：

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2014年 / 96卷 / 110期

关键词：

Bernstein operators; genuine Bernstein-Durrmeyer operators; Paltanea operators; Lagrange interpolation; eigenstructure; iterated Boolean sum; representation of derivatives; APPROXIMATION;

D O I：

10.2298/PIM1410159G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of positive linear operators which, among others, constitute a link between the classical Bernstein operators and the genuine Bernstein-Durrmeyer mappings. The focus is on their relation to certain Lagrange-type interpolators associated to them, a well known feature in the theory of Bernstein operators. Considerations concerning iterated Boolean sums and the derivatives of the operator images are included. Our main tool is the eigenstructure of the members of the class.

引用

页码：159 / 168

页数：10

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