Approximation of classes of analytic functions by de la Vallée Poussin sums in uniform metric

In this paper asymptotic equalities are found for the least upper bounds of deviations in the uniform metric of de la Vallée Poussin sums on classes of 2π-periodic (ψ, β)-differentiable functions admitting an analytic continuation into the given strip of the complex plane. As a consequence, asymp...

Full description

Bibliographic Details
Main Authors: A. S. Serdyuk, Ie. Yu. Ovsii, A. P. Musienko
Format: Article
Language:English
Published: Sapienza Università Editrice 2012-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2012(1-2)/1-15.pdf