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A Tauberian Theorem Concerning Borel-Type and Riesz Summability Methods

Published online by Cambridge University Press:  20 November 2018

David Borwein
David Borwein*
Affiliation:
Department of Mathematics University of Western Ontario London, Ontario N6A 5B7
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Abstract

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It is proved that the summability of a series by the Borel-type summability method (B,α,β) together with a certain Tauberian condition implies its summability by the Riesz method (R, log(n + l),p).

Keywords

40E05.TauberiansummabilityBorel-typeRiesz.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 1 , 01 March 1992 , pp. 14 - 20
Copyright
Copyright © Canadian Mathematical Society 1992

References

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