Title of article :
Absolute Euler Summability of Fourier Series
Author/Authors :
G. D. Dikshit*، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 1998
Abstract :
In this paper we study an application of Euler means for the absolute summability
of Fourier series of functions of bounded variations. Due to the incomparability of
the Euler and the Ces`aro methods, it is not apparent what results to expect for
the Euler means under the hypotheses similar to those for which extensive studies
with Ces`aro and Riesz means have been done over the years. In this paper we
prove theorems that generalise some results of (i) B. K. Ray and B. Patra and (ii)
P. Chandra and also exhibit some sort of linkage between their seemingly unrelated
results
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications