New modification of the Post Widder operators preserving exponential functions

عنوان الدورية
Arab Journal of Basic and Applied Sciences
العدد
2024
دولة النشر
UK
مكان النشر
UK
الناشر
Taylor & Francis Group on behalf of the University of Bahrain
عدد الدورية
2024, VOL. 31, NO. 1, 93–103
تاريخ النشر
2024
اللغة
الأنجليزية
الملخص الإنجليزي
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.
المجموعة
المعرف
https://digitalrepository.uob.edu.bh/id/44781985-32f3-431b-9ea9-c4a182de6c94