Approximation by Jakimovski-Leviatan-Pǎltǎnea operators involving Sheffer polynomials

被引：0
|
作者：
M. Mursaleen
A. A. H. AL-Abeid
Khursheed J. Ansari
机构：
[1] Aligarh Muslim University,Department of Mathematics
[2] King Khalid University,Department of Mathematics, College of Science
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2019年 / 113卷
关键词：
Szász operators; Phillips operators; Modulus of continuity; Korovkin’s theorem; Sheffer polynomials; 41A10; 41A25; 41A36;
D O I：
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中图分类号：
学科分类号：
摘要：
The aim of the present paper is to introduce Jakimovski-Leviatan-Pǎltǎnea 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.
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页码：1251 / 1265
页数：14
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