A New Type of q-Szasz-Mirakjan Operators

被引：0
|
作者：
Chirila, Adina [1 ]
机构：
[1] Transilvania Univ Brasov, Dept Math & Comp Sci, 29 Eroilor Blvd, Brasov 500036, Romania
来源：
FILOMAT | 2017年 / 31卷 / 18期
关键词：
Linear positive operators; q-Szasz-Mirakjan operators; Voronovskaja theorem;
D O I：
10.2298/FIL1718617C
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce a new q-Szasz-Mirakjan operator based on a new q-exponential function. We derive various formulae for the moments, prove the uniform convergence of the sequence of operators to the identity operator on compact intervals and show a Voronovskaja type result.
引用
收藏
页码：5617 / 5628
页数：12
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