Vol. 97, No. 2, 1981

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Determination of bounds similar to the Lebesgue constants

H. P. Dikshit and Anil Kumar

Vol. 97 (1981), No. 2, 339–347
Abstract

Bounds for the Nörlund transformation of a sequence associated with Fourier series are determined. These are applied to obtain a necessary and sufficient condition for the convergence of the Nörlund transformation of Fourier series when the generating function satisfies a condition lighter than the continuity requirement.

Mathematical Subject Classification 2000
Primary: 42A24
Secondary: 40G05
Milestones
Received: 14 March 1980
Revised: 12 June 1980
Published: 1 December 1981
Authors
H. P. Dikshit
Anil Kumar