On statistical approximation properties of Kantorovich type q-Bernstein operators

被引：26

作者：

Dalmanoglu, Oezge ^{[2
]}

Dogru, Oguen ^{[1
]}

机构：

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

[2] Ankara Univ, Dept Math, Grad Sch Nat & Appl Sci, TR-06100 Ankara, Turkey

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 52卷 / 5-6期

关键词：

Korovkin theorem; Statistical convergence; q-integers; Kantorovich type operators; Modulus of continuity; Lipschitz class; CONVERGENCE; INEQUALITIES; POLYNOMIALS;

D O I：

10.1016/j.mcm.2010.05.005

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this study a new Kantorovich type generalization of q-Bernstein operators is introduced with the help of some recent studies on q-calculus. Then the statistical Korovkin type approximation properties of these operators are investigated. Finally, the order of statistical approximation is examined by means of modulus of continuity and with the help of the elements of Lipschitz class. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：760 / 771

页数：12

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