On the Divergence of N(?)rlund Logarithmic Means of Walsh-Fourier Series

摘要

It is well known in the literature that the logarithmic meansof Walsh or trigonometric Fourier series converge a.e. to the function for each integrable function onthe unit interval. This is not the case if we take the partial sums. In this paper we prove that thebehavior of the so-called Norlund logarithmic meansis closer to the properties of partial sums in this point of view.