On summability theory and method of Fourier series

Authors
He, JX
Citation
Jx. He, On summability theory and method of Fourier series, APPL MATH C, 117(2-3), 2001, pp. 151-159
Citations number
5
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
117
Issue
2-3
Year of publication
2001
Pages
151 - 159
Database
ISI
SICI code
0096-3003(20010125)117:2-3<151:OSTAMO>2.0.ZU;2-8
Abstract
In this paper, we construct a new integral operator H-n,H-l(f;x) through W. Rogosinski sum in Fourier series. The convergence order of H-n,H-l(f;x) is the best for f(x) is an element of C-2 pi(j), 0 less than or equal to j le ss than or equal to l, where l is arbitrary odd natural number. (C) 2001 El sevier Science Inc. All rights reserved.