Certain new Factor Theorems for Infinite Series and Trigonometric Fourier Series

Abstract

In this paper, rstly we proved a general theorem dealing with absolute Riesz summability factors of innite series under weaker conditions. And  secondly we applied it to the trigonometric Fourier series. Also we have obtained some new and known results.

Mathematics Subject Classication (2010): 26D15, 40D15, 40F05, 40G99, 42A24, 42A32, 46A45.

Key words: Innite series, Fourier series, Holder's inequality, Minkowski's inequality, absolute summability, sequence space.