Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators

Journal of Numerical Analysis and Approximation Theory

Michael Th. Rassias¹  Vijay Gupta² 

[1] Department of Mathematics and Engineering Sciences, Hellenic Military Academy, Greece and Institute for Advanced Study, Program in Interdisciplinary Studies, Princeton, USA;Department of Mathematics, Netaji Subhas Institute of Technology, New Delhi, India;

关键词: Approximation Theory;    Ismail-May operators;    Baskakov basis;    asymptotic formula;    simultaneous approximation;    weighted Korovkin's theorem;   

DOI  :  

来源: DOAJ

【 摘 要 】

In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic formula in simultaneous approximation.

【 授权许可】

Unknown