- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 37
- Absolute product summability of the Fourier series and its allied series
Absolute product summability of the Fourier series and its allied series
Authors : Chandra Prem
Pages : 0-0
Doi:10.1501/Commua1_0000000557
View : 6 | Download : 4
Publication Date : 1988-01-01
Article Type : Research
Abstract :In tlıis paper, the authors havc proved four tlıeorems concerning I (R, exp |log w)A f, a) (C, 1)İ(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 ] (a > 0) summability. Also it has been shown that the sequence of factors j 1 /log(n-)-l)]- used for the conjugate series and its derived series can not be dropped.Keywords : product summability, Fourier series, allied series