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On the Nørlund Summability of a Class of Fourier Series

Published online by Cambridge University Press:  20 November 2018

Badri N. Sahney
Badri N. Sahney*
Affiliation:
The University of Calgary, Calgary, Alberta
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1. Our aim in this paper is to determine a necessary and sufficient condition for N∅rlund summability of Fourier series and to include a wider class of classical results. A Fourier series, of a Lebesgue-integrable function, is said to be summable at a point by N∅rlund method (N, pn), as defined by Hardy [1], if pn → Σpn → ∞, and the point is in a certain subset of the Lebesgue set. The following main results are known.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 22 , Issue 1 , 01 February 1970 , pp. 86 - 91
Copyright
Copyright © Canadian Mathematical Society 1970

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