On the absolute matrix summability of Fourier series

B. Kuttner and B. N. Sahney

Vol. 43 (1972), No. 2, 407–419

DOI: 10.2140/pjm.1972.43.407

Abstract

The paper investigates sufficient conditions under which a summability method of a certain general type absolutely sums the Fourier series of any function of bounded variation. The main theorem includes a recent theorem of M. Izumi and S. Izumi, who considered the problem for the special case of Nörlund summability.

Mathematical Subject Classification

Primary: 42A28

Milestones

Received: 7 June 1971

Published: 1 November 1972