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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Cesàro and Borel-type summability
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by David Borwein and Tom Markovich PDF
Proc. Amer. Math. Soc. 103 (1988), 1108-1112 Request permission

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
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 103 (1988), 1108-1112
  • MSC: Primary 40G05; Secondary 40E05, 40G10
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0954991-5
  • MathSciNet review: 954991