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
الموضوع
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