Approximation properties of complex q-Balazs-Szabados operators in compact disks

被引：19

作者：

Ispir, Nurhayat ^{[1
]}

Ozkan, Esma Yildiz ^{[1
]}

机构：

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

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

complex q-Balazs-Szabados operators; order of convergence; Voronovskaja-type theorem; approximation in compact disks;

D O I：

10.1186/1029-242X-2013-361

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with approximating properties and convergence results of the complex q-Balazs-Szabados operators attached to analytic functions on compact disks. The order of convergence and the Voronovskaja-type theorem with quantitative estimate of these operators and the exact degree of their approximation are given. Our study extends the approximation properties of the complex q-Balazs-Szabados operators from real intervals to compact disks in the complex plane with quantitative estimate.

引用

页数：12

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