Absolute Euler Summability of Fourier Series

AbstractIn 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 Cesáro methods, it is not apparent what results to expect for the Euler means under the hypotheses similar to those for which extensive studies with Cesáro 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