On q-Parametric Szasz-Mirakjan Operators

被引：36
作者：
Mahmudov, Nazim I. [1 ]
机构：
[1] Eastern Mediterranean Univ, Dept Math, Trnc 10, Mersin, Turkey
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2010年 / 7卷 / 03期
关键词：
q-polynomials; Szasz-Mirakjan operator; Korovkin approximation; positive operator; rate of convergence; modulus of continuity; Voronovskaja-type formula; Q-BERNSTEIN POLYNOMIALS; APPROXIMATION; CONVERGENCE;
D O I：
10.1007/s00009-010-0037-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we introduce q-parametric Szasz-Mirakjan operators. We study convergence properties of these operators S-n,S-q(f). We obtain inequalities for the weighted approximation error of q-Szasz-Mirakjan operators. Such inequalities are valid for functions of polynomial growth and are expressed in terms of weighted moduli of continuity. We also discuss Voronovskaja-type formula for q-Szasz-Mirakjan operators.
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收藏
页码：297 / 311
页数：15
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