A Note on the Absolute Summability of Fourier Series by the Bosanquet-Linfoot Method

G. D. Dikshit
Source: Real Anal. Exchange Volume 27, Number 1 (2001), 341-348.

Abstract

In this note we show that a theorem due to L.I. Holder on the absolute summability of Fourier series by the Bosanquet-Linfoot method $|\alpha,\beta|,$ can be improved upon. Our theorem then provides a better refinement to the classical theorem of Bosanquet on summability $|C,\gamma|$ of Fourier series.

First Page:
Primary Subjects: 42A28
Full-text: Open access

Permanent link to this document: http://projecteuclid.org/euclid.rae/1212763974
Mathematical Reviews number (MathSciNet): MR1887865
Zentralblatt MATH identifier: 1023.42003

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