Title of article :
Approximations of Entire Functions in Locally Global Norms
Author/Authors :
Jassim, S.K. University of Al-Mustansirya - College of Science - Department of Mathematics, Iraq , Mohamed, N.J. University of Baghdad - College of Education Ibn Al-Haitham - Department of Mathematics, Iraq
Abstract :
The purpose of this paper is to evaluate the error of the approximation of an entire function by some discrete operators in locally global quasi-norms (Lδ,p-sp ace), we intend to establish new theorems concerning that Jackson polynomial and Valee-Poussin operator remain within the same bounds as bounded and periodic entire function in locally global norms (Lδ,p), (0 p ≤1).
Keywords :
Entire functions , bounded masurable functions , quasi , normed sp ace.
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science