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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On strong Riesz summability factors of infinite series. I
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by J. S. Ratti
Proc. Amer. Math. Soc. 18 (1967), 959-966
DOI: https://doi.org/10.1090/S0002-9939-1967-0218783-3
References
  • D. Borwein and B. L. R. Shawyer, On strong Riesz summability factors, J. London Math. Soc. 40 (1965), 111–126. MR 173885, DOI 10.1112/jlms/s1-40.1.111
  • G. H. Hardy, The second theorem of consistency for summable series, Proc. London Math. Soc. (2) 15 (1916), 72-78. G. H. Hardy and M. Riesz, The general theory of Dirichlet’s series, Cambridge Tracts in Math., No. 18, Cambridge Univ. Press, England. K. A. Hirst, On the second theorem of consistency in the theory of summability by typical means, Proc. London Math. Soc. (2) 33 (1932), 353-366.
  • Pramila Srivastava, On strong Rieszian summability of infinite series, Proc. Nat. Inst. Sci. India Part A 23 (1957), 58–71. MR 96057
  • Pramila Srivastava, On the second theorem of consistency for strong Riesz summability, Indian J. Math. 1 (1958), no. 1, 1–16 (1958). MR 106373
  • J. B. Tatchell, A theorem on absolute Riesz summability, J. London Math. Soc. 29 (1954), 49–59. MR 57993, DOI 10.1112/jlms/s1-29.1.49
  • C. J. de la Vallé-Poussin, Cours d’analyse infinitésimale, Louvain, Paris, 1923.
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Bibliographic Information
  • © Copyright 1967 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 18 (1967), 959-966
  • MSC: Primary 40.30
  • DOI: https://doi.org/10.1090/S0002-9939-1967-0218783-3
  • MathSciNet review: 0218783