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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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Some regularity conditions for the $(f, d_{n}, z_{1})$ summability method
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by A. Jakimovski and H. Skerry
Proc. Amer. Math. Soc. 24 (1970), 281-287
DOI: https://doi.org/10.1090/S0002-9939-1970-0251399-1
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Abstract:

Regularity conditions for the generalized Lototsky summability method $(f,\;{d_n},\;{z_1})$ are derived which do not restrict the Taylor coefficients of $f$. Some examples are given.
References
  • Bogdan M. BajĆĄanski, Sur une classe gĂ©nĂ©rale de procĂ©dĂ©s de sommations du type d’Euler-Borel, Acad. Serbe Sci. Publ. Inst. Math. 10 (1956), 131–152 (French). MR 84605
  • J. Clunie and P. Vermes, Regular Sonnenschein type summability methods, Acad. Roy. Belg. Bull. Cl. Sci. (5) 45 (1959), 930–954. MR 125371
  • Amnon Jakimovski, A generalization of the Lototsky method of summability, Michigan Math. J. 6 (1959), 277–290. MR 130500
  • A. V. LotockiÄ­, On a linear transformation of sequences and series, Ivanov. Gos. Ped. Inst. Uč. Zap. Fiz.-Mat. Nauki 4 (1953), 61–91 (Russian). MR 0077668
  • Gaston Smith, On the $(f,\,d_{n})$-method of summability, Canadian J. Math. 17 (1965), 506–526. MR 176265, DOI 10.4153/CJM-1965-051-1
    • —, A generalization of the $(f,\;{d_n})$ method of summability, Notices Amer. Math. Soc. 12 (1965), 599, abstract #625-180.
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 24 (1970), 281-287
  • MSC: Primary 40.31
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0251399-1
  • MathSciNet review: 0251399