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Some sufficient conditions for the absolute Cesàro summability of series

Published online by Cambridge University Press:  20 January 2009

J. M. Hyslop
J. M. Hyslop
Affiliation:
The Universtiy, Glasgow.
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denote the n-th Cesàro mean of order k for the series aΣan, that is,

where

and let

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 6 , Issue 1 , May 1939 , pp. 51 - 56
Copyright
Copyright © Edinburgh Mathematical Society 1939

References

page 51 note 1 Kogbetliantz, E.. Bull, des Sciences Math. (2), 49 (1925), 234–256.Google Scholar

page 52 note 1 Whittaker, J. M., Proc. Edinburgh Math. Soc. (2), 2 (1930), 1–5.CrossRefGoogle Scholar

page 52 note 2 Fekete, M., Proc. Edinburgh Math. Soc. (2), 3 (1933), 132–134.CrossRefGoogle Scholar

page 52 note 3 Hyslop, J. M., Proc. Edinburgh Math. Soc. (2), 6 (1938), 182–201.CrossRefGoogle Scholar

page 55 note 1 Hyslop, J. M., loc. cit., 194.Google Scholar

page 55 note 2 CfHardy, G. H. and Little wood, J. E., Proc. London Math. Soc. (2), 11 (1912), 436.Google Scholar