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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 Borel-type summability


Authors: David Borwein and Tom Markovich
Journal: Proc. Amer. Math. Soc. 103 (1988), 1108-1112
MSC: Primary 40G05; Secondary 40E05, 40G10
MathSciNet review: 954991
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Abstract: Though summability of a series by the Cesàro method $ {C_p}$ does not in general imply its summability by the Borel-type method $ (B,\alpha ,\beta )$, it is shown that the implication holds under an additional condition.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0954991-5
PII: S 0002-9939(1988)0954991-5
Article copyright: © Copyright 1988 American Mathematical Society