APPROXIMATION PROPERTIES OF JAIN-APPELL OPERATORS

Applicable Analysis and Discrete Mathematics

article

Mehmet Ali Ozarslan¹ 

[1] Department of Mathematics Eastern Mediterranean University Faculty of Art and Sciences Department of Mathematics Gazima˘gusa

关键词: Sz'{a}sz--Mirakyan operators;    Jakimovski-Leviatan operators;    Jain-Appell operators;    Baskakov operators;    Lipschitz type function space;   

DOI  :  10.2298/AADM190223044O

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

In this paper, we introduce the Jain-Appell operators by applying Gammatransform to the Jakimovski-Leviatan operators. In their special cases theyinclude not only the Jain-Pethe operators, but also new families of operators, where we call them Appell-Baskakov and Appell-Lupa¸s operators, sincetheir special cases contain Baskakov and Lupa¸s operators, respectively. Weinvestigate their weighted approximation properties and compute the errorof approximation by using certain Lipschitz class functions. Furthermore, weobtain their A−statistical approximation property.

【 授权许可】

Unknown