Absolute product summability of the Fourier series and its allied series

Authors : Chandra PREM

Pages : 0-0

Doi:10.1501/Commua1_0000000557

View : 12 | Download : 8

Publication Date : 1988-01-01

Article Type : Research Paper

Abstract :In tlıis paper, the authors havc proved four tlıeorems concerning I insert ignore into journalissuearticles values(R, exp |log w);A f, a); insert ignore into journalissuearticles values(C, 1);İinsert ignore into journalissuearticles values(A 0, a 0); summability of the Fourier series, its factored conjugate scries and their derived series. Earlier, these results were obtained by Chandra [I ] for |R, exp{logw loglogwj, I + a ] insert ignore into journalissuearticles values(a > 0); summability. Also it has been shown that the sequence of factors j 1 /loginsert ignore into journalissuearticles values(n-);-l);]- used for the conjugate series and its derived series can not be dropped.
Keywords : product summability, Fourier series, allied series