On the relative strength of two absolute summability methods
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- by Hüseyin Bor PDF
- Proc. Amer. Math. Soc. 113 (1991), 1009-1012 Request permission
Abstract:
In this paper we prove a theorem concerning the relative strength of ${\left | {R,{p_n}} \right |_k}$ and $\left | {R,{q_n}} \right | _k$ summability methods, $k > 1$, that generalizes a result of Bosanquet [1].References
- L. S. Bosanquet, The summability of Laplace-Stieltjes integrals. II, Proc. London Math. Soc. (3) 11 (1961), 654–690. MR 141957, DOI 10.1112/plms/s3-11.1.654
- 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 86912, DOI 10.1112/plms/s3-7.1.113
- G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
Additional Information
- © Copyright 1991 American Mathematical Society
- 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