Approximation theorems by Meyer-Konig and Zeller type operators

被引：10

作者：

Ozarslan, M. Ali ^{[2
]}

Duman, Oktay ^{[1
]}

机构：

[1] TOBB Econ & Technol Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey

[2] Eastern Mediterranean Univ, Fac Arts & Sci, Dept Math, TR-10 Gazimagusa, Mersin, Turkey

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 01期

关键词：

CANTORIAN MANIFOLD; QUANTUM GROUPS;

D O I：

10.1016/j.chaos.2008.02.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is mainly connected with the approximation properties of Meyer-Konig and Zeller (MKZ) type operators. We first introduce a general sequence of MKZ operators based oil q-integers and then obtain a Korovkin-type approximation theorem for these operators. We also compute their rates of convergence by means of modulus of continuity and the elements of Lipschitz class functionals. Furthermore, we give an rth order generalization of our operators in order to get some explicit approximation results. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：451 / 456

页数：6

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