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Some regularity conditions for the $ (f,\,d\sb{n},\,z\sb{1})$ summability method

Authors: A. Jakimovski and H. Skerry
Journal: Proc. Amer. Math. Soc. 24 (1970), 281-287
MSC: Primary 40.31
MathSciNet review: 0251399
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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.

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  • [1] Bogdan M. Bajšanski, Sur une classe générale de procédés de sommations du type d’Euler-Borel, Acad. Serbe Sci. Publ. Inst. Math. 10 (1956), 131–152 (French). MR 0084605
  • [2] J. Clunie and P. Vermes, Regular Sonnenschein type summability methods, Acad. Roy. Belg. Bull. Cl. Sci. (5) 45 (1959), 930–954. MR 0125371
  • [3] Amnon Jakimovski, A generalization of the Lototsky method of summability, Michigan Math. J. 6 (1959), 277–290. MR 0130500
  • [4] A. V. Lotockiĭ, On a linear transformation of sequences and series, Ivanov. Gos. Ped. Inst. Uč. Zap. Fiz.-Mat. Nauki 4 (1953), 61–91 (Russian). MR 0077668
  • [5] Gaston Smith, On the (𝑓,𝑑_{𝑛})-method of summability, Canad. J. Math. 17 (1965), 506–526. MR 0176265
  • [6] -, A generalization of the $ (f,\;{d_n})$ method of summability, Notices Amer. Math. Soc. 12 (1965), 599, abstract #625-180.

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Keywords: Regularity conditions, summability methods
Article copyright: © Copyright 1970 American Mathematical Society