On a generalization of Bleimann, Butzer and Hahn operators based on q-integers

被引：12

作者：

Agratini, Octavian ^{[1
]}

Nowak, Grzegorz ^{[2
]}

机构：

[1] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

[2] Great Poland Univ Social & Econ, PL-63000 Sroda Wielkopolska, Poland

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 53卷 / 5-6期

关键词：

Linear positive operator; q-integers; Bleimann; Butzer and Hahn operator; Approximation process; APPROXIMATION PROPERTIES; POLYNOMIALS;

D O I：

10.1016/j.mcm.2010.10.006

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We propose a class of linear positive operators based on q-integers. These operators depend on a non-negative parameter and represent a generalization of the classical Bleimann, Butzer and Hahn operators. Approximation properties are presented and bounds of the error of approximation are established. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：699 / 706

页数：8

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