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

页码：1517 / 1530

页数：14

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