New modification of the Post Widder operators preserving exponential functions

Title of Periodical
Arab Journal of Basic and Applied Sciences
Issue published
2024
Country of Publication
UK
Place Published
UK
Publisher
Taylor & Francis Group on behalf of the University of Bahrain
Periodical Number
2024, VOL. 31, NO. 1, 93–103
Date Issued
2024
Language
English
English Abstract
ABSTRACT The current article deals with a modification of the Post-Widder operators which reproduce the exponential functions both elx and e2lx for l > 0: The central moments, uniform conver- gence of the operators and the rate of convergence of these operators with the help of modulus of continuity are estimated. Also, a Voronovskaja-type asymptotic formula is estab- lished. After that, numerical results are obtained to confirm the theoretical results. Finally, new constructed operators are compared with modified Post-Widder operators.
Member of
Identifier
https://digitalrepository.uob.edu.bh/id/44781985-32f3-431b-9ea9-c4a182de6c94