Approximation by the q-Szasz-Mirakjan Operators

被引：16
作者：
Mahmudov, N. I. [1 ]
机构：
[1] Eastern Mediterranean Univ, Dept Math, TR-10 N Cyprus, Mersin, Turkey
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
MEYER-KONIG; STATISTICAL APPROXIMATION; UNIFORM APPROXIMATION; Q-ANALOG; BASKAKOV; THEOREMS;
D O I：
10.1155/2012/754217
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with approximating properties of the q-generalization of the Szasz-Mirakjan operators in the case q > 1. Quantitative estimates of the convergence in the polynomial-weighted spaces and the Voronovskaja's theorem are given. In particular, it is proved that the rate of approximation by the q-Szasz-Mirakjan operators (q > 1) is of order q(-n) versus 1/n for the classical Szasz-Mirakjan operators.
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页数：16
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