A Short Note on a q-Analog of Modified Stancu—Beta Operators

被引：0
|
作者：
P. Sharma
G. S. Rathore
机构：
[1] University College of Science,Department of Mathematics and Statistics
[2] Mohanlal Sukhadia University,undefined
来源：
Mathematical Notes | 2019年 / 105卷
关键词：
q-integers; statistical convergence; q-Stancu—Beta operators; rate of statistical convergence; modulus of continuity; positive linear operators; Korovkin-type approximation theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with the modified q-Stancu—Beta operators and investigates statistical approximation theorems for these operators with the help of a Korovkin-type approximation theorem. The rates of statistical convergence are determined by means of the modulus of continuity and a Lipschitz-type maximal function. The results show that the rates of convergence of the operators under consideration are at least as fast as those of the classical Stancu-Beta operators.
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页码：881 / 887
页数：6
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