J Austral Math Soc Ser A 47 pp458--465, 1989.

Walsh-Fourier Series with Coefficients of Generalized Bounded Variation

F. Móricz

Abstract

We extend in different ways the class of null sequences of real numbers that are of bounded variation and study the Walsh-Fourier series of integrable functions on the interval [0, 1) with such coefficients. We prove almost everywhere convergence as well as convergence in the pseudometric of L^r(0, 1) for 0 < r < 1.

1980 AMS Subject Classification (1985 Revision): 42C10

Browse the article

Authors

F. Móricz

Bolyai Institute, University of Szeged, Aradi Vertanuk Tere 1, 6720 Szeged, Hungary.