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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Cesàro and general Euler-Borel summability


Author: Laying Tam
Journal: Proc. Amer. Math. Soc. 115 (1992), 747-755
MSC: Primary 40G05
MathSciNet review: 1087470
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Abstract: The general Euler-Borel summability method is a method that includes the Euler, discrete Borel, Meyer-König, Taylor, and Karamata methods as special cases. We prove that under a certain condition the Cesàro summability of a sequence implies its summability by a general Euler-Borel method.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1087470-9
PII: S 0002-9939(1992)1087470-9
Article copyright: © Copyright 1992 American Mathematical Society