Szasz Type Operators Involving Charlier Polynomials of Blending Type

被引：4
|
作者：
Chauhan, Ruchi [1 ]
Baxhaku, Behar [2 ]
Agrawal, Purshottam N. [1 ]
机构：
[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India
[2] Univ Prishtina, Dept Math, Prishtina, Kosovo
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2019年 / 13卷 / 03期
关键词：
Szasz operators; Charlier polynomials; Weighted approximation; Modulus of continuity; Peetre's-K functional; Bounded variation; CONVERGENCE; Q)-ANALOG; (P;
D O I：
10.1007/s11785-018-0854-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a new sequence of linear positive operators by combining the Charlier polynomials and the Szasz type operators defined by Jain (in J Aust Math Soc 13(3):271-276, 1972). We obtain the degree of approximation of these operators by means of the weighted modulus of continuity and for functions in a Lipschitz type space. We also study the approximation of functions having a derivative equivalent with a function of bounded variation.
引用
收藏
页码：1197 / 1226
页数：30
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