A Note on Norland Summability of Fourier Series

Abstract

In this paper we consider point-wise summability in the Norlund sense of Fourier series by assuming H(n) . F(n) = o (Pn) as n--+ oo, where (H(x) = d.x g(t) dt, g(t) is continuous, non-increasing, H(x) is slowly varying, and F(x) is positive non-decreasing. THE CASE F(x) = 1, and g(x) =_liS THE RESULT IN [1] .