Absolute product summability of the Fourier series and its allied series

Autor: Chandra Prem, H.C. Jain
Rok vydání: 1988
Předmět:
Zdroj: Volume: 37, Issue
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
ISSN: 1303-5991
2618-6470
DOI: 10.1501/commua1_0000000557
Popis: 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.
Databáze: OpenAIRE