A Note on the Absolute Summability of Fourier Series by the Bosanquet-Linfoot Method

Abstract

In this note we show that a theorem due to L.I. Holder on the absolute summability of Fourier series by the Bosanquet-Linfoot method $|\alpha,\beta|,$ can be improved upon. Our theorem then provides a better refinement to the classical theorem of Bosanquet on summability $|C,\gamma|$ of Fourier series.