On Kantorovich process of a sequence of the generalized linear positive operators

被引：13

作者：

Ispir, Nurhayat ^{[1
]}

Aral, Ali ^{[2
]}

Dogru, Oguen ^{[1
]}

机构：

[1] Gazi Univ, Sci & Arts Fac, Dept Math, TR-06500 Ankara, Turkey

[2] Kirikkale Univ, Sci & Arts Fac, Dept Math, Krkkales, Turkey

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2008年 / 29卷 / 5-6期

关键词：

bounded variation; derivatives of bounded variation; Kantorovich-type operators; linear positive operators; rate of convergence; total variation; weighted approximation;

D O I：

10.1080/01630560802099365

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define the Kantorovich variant of the generalized linear positive operators introduced by Ibragimov and Gadjiev in 1970. We investigate direct approximation result for these operators on p-weighted integrable function spaces and also estimate their rate of convergence for absolutely continuous functions having a derivative coinciding a.e., with a function of bounded variation.

引用

页码：574 / 589

页数：16

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