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On the relation between the Abel and Borel-type methods of summability.


Author: B. L. R. Shawyer
Journal: Proc. Amer. Math. Soc. 22 (1969), 15-19
MSC: Primary 40.31
DOI: https://doi.org/10.1090/S0002-9939-1969-0243228-9
MathSciNet review: 0243228
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  • [3] -, Relations between Borel-type methods of summability, J. London Math. Soc. 35 (1960), 65-70. MR 0116163 (22:6958)
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  • [6] G. H. Hardy, Divergent series, Oxford at the Clarendon Press, 1949. MR 0030620 (11:25a)
  • [7] R. Jajte, On the composition of integral means with Borel methods of summability, Ann. Polon. Math. 14 (1964), 101-116. MR 0159166 (28:2383)
  • [8] J. M. Whittaker, The absolute summability of Fourier series, Proc. Edinburgh Math. Soc. (2) 2 (1930-1931), 1-5.

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DOI: https://doi.org/10.1090/S0002-9939-1969-0243228-9
Article copyright: © Copyright 1969 American Mathematical Society

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