Approximation by Jakimovski–Leviatan-beta operators in weighted space

被引：0
作者：
M. Nasiruzzaman
M. Mursaleen
机构：
[1] University of Tabuk,Department of Mathematics, Faculty of Science
[2] China Medical University (Taiwan),Department of Medical Research, China Medical University Hospital
[3] Aligarh Muslim University,Department of Mathematics
[4] Asia University,Department of Computer Science and Information Engineering
来源：
Advances in Difference Equations | / 2020卷
关键词：
Appell polynomials; Jakimovski–Leviatan operators; Korovkin’s theorem; Modulus of continuity; Lipschitz functions; Peetre’s ; -functional; 41A10; 41A25; 41A36;
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摘要：
The main purpose of this article is to introduce a more generalized version of Jakimovski–Leviatan-beta operators through the Appell polynomials. We present some uniform convergence results of these operators via Korovkin’s theorem and obtain the rate of convergence by using the modulus of continuity and Lipschitz class. Moreover, we obtain the approximation with the help of Peetre’s K-functional and give some direct theorems.
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