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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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Some inequalities related to Abel’s method of summation
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by W. B. Pennington PDF
Proc. Amer. Math. Soc. 3 (1952), 557-565 Request permission
References
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  • H. Hadwiger, Ueber eine Konstante Tauberscher Art, Rev. Mat. Hisp.-Amer. (4) 7 (1947), 65–69 (German). MR 21602
  • G. H. Hardy and J. E. Littlewood, Tauberian theorems concerning power series and Dirichlet’s series whose coefficients are positive, Proc. London Math. Soc. (2) vol. 13 (1914) pp. 174-191.
  • Philip Hartman, Tauber’s theorem and absolute constants, Amer. J. Math. 69 (1947), 599–606. MR 21603, DOI 10.2307/2371888
  • J. E. Littlewood, The converse of Abel’s theorem on power series, Proc. London Math. Soc. (2) vol. 9 (1910) pp. 434-448.
  • A. Tauber, Ein Satz aus der Theorie der unendlichen Reihen, Monatsh. Math. Phys. 8 (1897), no. 1, 273–277 (German). MR 1546472, DOI 10.1007/BF01696278
  • T. Vijayaraghavan, Converse theorems on summability, J. London Math. Soc. vol. 2 (1927) pp. 215-222.
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Additional Information
  • © Copyright 1952 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 3 (1952), 557-565
  • MSC: Primary 40.0X
  • DOI: https://doi.org/10.1090/S0002-9939-1952-0049345-8
  • MathSciNet review: 0049345