Approximation by Jakimovski-Leviatan-Paltanea operators involving Sheffer polynomials

被引：8
|
作者：
Mursaleen, M. [1 ]
AL-Abeid, A. A. H. [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：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 02期
关键词：
Szasz operators; Phillips operators; Modulus of continuity; Korovkin's theorem; Sheffer polynomials; VARIANT;
D O I：
10.1007/s13398-018-0546-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of the present paper is to introduce Jakimovski-Leviatan-Paltanea operators which involve Sheffer polynomials. We investigate approximation properties of our operators with the help of the universal Korovkin-type property and also establish the rate of convergence by using the modulus of continuity, second order modulus of smoothness and Petree's K-functional. Furthermore, we study the approximation by functions of bounded variations. Some graphical examples of the convergence of our operators and error estimation are also given.
引用
收藏
页码：1251 / 1265
页数：15
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