Vol. 63, No. 2, 1976

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Absolute Nörlund summability factors for Fourier series

G. D. Dikshit

Vol. 63 (1976), No. 2, 371–379

In this paper a general theorem on the absolute Nörlund summability factors of a Lebesgue-Fourier series at a given point has been established. The theorem exhibits the potency of a Nörlund method as a tool to study absolute summability and the absolute convergence of Fourier series. Several existing results in the field are deduced as special cases. This also shows some sort of continuity amongst these theorems which otherwise seem apparently to be disconnected.

Mathematical Subject Classification
Primary: 42A28
Received: 8 October 1975
Revised: 9 January 1976
Published: 1 April 1976
G. D. Dikshit