On the Mean Summability by Cesaro (C,a) and Abel-Poisson Methods of Trigonometric Fourier Series in the Weighted Lorentz Spaces

Abstract

In the paper the classical results on the mean convergence and summability of trigonometric Fourier series are extended to the weighted Lorentz spaces. 2000 Mathematics Subject Classification: 46E30.Fourier series, Cesaro means, Abel Poisson