Approximation by Jakimovski-Leviatan-Stancu-Durrmeyer Type Operators

被引：18
作者：
Mursaleen, M. [1 ]
Rahman, Shagufta [1 ]
Ansari, Khursheed J. [2 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[2] King Khalid Univ, Coll Sci, Dept Math, Abha 61413, Saudi Arabia
来源：
FILOMAT | 2019年 / 33卷 / 06期
关键词：
Durrmeyer operators; Jakimovski-Leviatan operators; Simultaneous approximation; Statistical approximation; Modulus of continuity; STATISTICAL APPROXIMATION;
D O I：
10.2298/FIL1906517M
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we introduce Stancu type modification of Jakimovski-Leviatan-Durrmeyer operators. First, we estimate moments of these operators. Next, we study the problem of simultaneous approximation by these operators. An upper bound for the approximation to rth derivative of a function by these operators is established. Furthermore, we obtain A-statistical approximation properties of these operators with the help of universal korovkin type statistical approximation theorem.
引用
收藏
页码：1517 / 1530
页数：14
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