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On absolute riesz summability of Fourier series

Published online by Cambridge University Press:  09 April 2009

G. D. Dikshit
G. D. Dikshit
Affiliation:
University of Auckland, Auckland, New Zealand
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Abstract

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Let and .

In 1951 Mohanty proved the following theorem: .

In this paper a general theorem on summability |R,l (w), 1 | of Σ An(x) has been given which improves upon Mohanty's result in different ways (see Corollaries 1, 2 and 3) and it is also shown that some of the results of this note are the best possible.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 19 , Issue 1 , February 1975 , pp. 97 - 102
Copyright
Copyright © Australian Mathematical Society 1975

References

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