Vol. 26, No. 2, 1968

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 297: 1
Vol. 296: 1  2
Vol. 295: 1  2
Vol. 294: 1  2
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
Nörlund summability of Fourier series

Masako Izumi and Shin-ichi Izumi

Vol. 26 (1968), No. 2, 289–301
Abstract

The Nörlund summability was first applied to the theory of Fourier series by E. Hille and J. D. Tamarkin. Many other mathematicians have since worked in this field. Recently T. Singh has proved a nice theorem conceming the Nörlund summability of Fourier series. In Part I, we shall give a generalization.

Absolute Nörlund summability was defined by L. McFadden and he proved a theorem concerning the absolute Nörlund summability of the Fourier series of functions of the Lipschitz class which was generalized by S. N. Lal. We shall give another generalization of McFadden’s theorem in Part II.

Mathematical Subject Classification
Primary: 42.20
Milestones
Received: 12 September 1966
Published: 1 August 1968
Authors
Masako Izumi
Shin-ichi Izumi