On q-Szasz-Durrmeyer operators

被引：8

作者：

Mahmudov, Nazim I. ^{[1
]}

Kaffaoglu, Havva ^{[1
]}

机构：

[1] Eastern Mediterranean Univ, TRNC, Mersin 10, Turkey

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2010年 / 8卷 / 02期

关键词：

q-Szasz-Durrmeyer operators; K-functional; Modulus of continuity; q-calculus; Q-BERNSTEIN POLYNOMIALS; APPROXIMATION PROPERTIES; MIRAKYAN OPERATORS; CONVERGENCE; 0-LESS-THAN-Q-LESS-THAN-1;

D O I：

10.2478/s11533-010-0016-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we introduce the q-Szasz-Durrmeyer operators and justify a local approximation result for continuous functions in terms of moduli of continuity. We also discuss a Voronovskaya type result for the q-Szasz-Durrmeyer operators.

引用

页码：399 / 409

页数：11

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