On the relative strength of two absolute summability methods
Author:
Hüseyin Bor
Journal:
Proc. Amer. Math. Soc. 113 (1991), 1009-1012
MSC:
Primary 40F05
DOI:
https://doi.org/10.1090/S0002-9939-1991-1068115-X
MathSciNet review:
1068115
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Abstract | References | Similar Articles | Additional Information
Abstract: In this paper we prove a theorem concerning the relative strength of 
and 
summability methods, 
, that generalizes a result of Bosanquet [1].
- [1] L. S. Bosanquet, The summability of Laplace-Stieltjes integrals. II, Proc. London Math. Soc. (3) 11 (1961), 654–690. MR 0141957, https://doi.org/10.1112/plms/s3-11.1.654
- [2] T. M. Flett, On an extension of absolute summability and some theorems of Littlewood and Paley, Proc. London Math. Soc. (3) 7 (1957), 113–141. MR 0086912, https://doi.org/10.1112/plms/s3-7.1.113
- [3] G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1991-1068115-X
Article copyright:
© Copyright 1991
American Mathematical Society