Overconvergence and $(C, 1)$ summability
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- by Vladimir Drobot
- Proc. Amer. Math. Soc. 25 (1970), 13-15
- DOI: https://doi.org/10.1090/S0002-9939-1970-0254220-0
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Abstract:
It is shown that a power series can be diluted to become $(C,1)$ summable outside the radius of convergence if and only if it overconverges.References
- G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620 S. Mazur, Conditionally convergent series, Soc. Sav. Sci. Lett. Lwow. 4 (1929), 411-424.
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 25 (1970), 13-15
- MSC: Primary 30.21
- DOI: https://doi.org/10.1090/S0002-9939-1970-0254220-0
- MathSciNet review: 0254220