Vol. 43, No. 2, 1972

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On the absolute matrix summability of Fourier series

B. Kuttner and B. N. Sahney

Vol. 43 (1972), No. 2, 407–419
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
Authors
B. Kuttner
B. N. Sahney