Overconvergence and $(C, 1)$ summability
Author:
Vladimir Drobot
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
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Abstract | References | Similar Articles | Additional Information
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.
- 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.
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Keywords:
Dilution of series,
<IMG WIDTH="55" HEIGHT="41" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="$(C,1)$"> summability,
overconvergence of power series
Article copyright:
© Copyright 1970
American Mathematical Society