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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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A Tauberian theorem for strong Abel summability type
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by Indulata Sukla PDF
Proc. Amer. Math. Soc. 84 (1982), 185-191 Request permission

Abstract:

In the present paper the author has defined a new method of strong Abel summability type ${\{ A,\lambda \} _m}$ and obtained a necessary and sufficient type of Tauberian conditions for $\Sigma {a_n}$ to be summable ${[R,\lambda ,k]_m}$, whenever it is summable ${\{ A,\lambda \} _m}$. This result is analogous to one result of Flett [4].
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 84 (1982), 185-191
  • MSC: Primary 40E05; Secondary 40G10
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0637166-3
  • MathSciNet review: 637166