THE EXTENSIONS OF THE FERENC-MORICZ THEOREMS

Authors
BHATIA SS RAM B
Citation
Ss. Bhatia et B. Ram, THE EXTENSIONS OF THE FERENC-MORICZ THEOREMS, Proceedings of the American Mathematical Society, 124(6), 1996, pp. 1821-1829
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
6
Year of publication
1996
Pages
1821 - 1829
Database
ISI
SICI code
0002-9939(1996)124:6<1821:TEOTFT>2.0.ZU;2-G
Abstract
We study the integrability of the tau times differentiated complex tri gonometric series using modified trigonometric sums and obtain a new n ecessary and sufficient condition for L(1)-convergence of the rth deri vative of the Fourier series. Some results of F. Moricz are deduced as corollaries.