On absolute summability factors
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- by Hüseyin Bor PDF
- Proc. Amer. Math. Soc. 118 (1993), 71-75 Request permission
Abstract:
In this paper a theorem on $|\overline N ,{p_n}{|_k}$ summability factors, which generalizes a theorem of Mazhar (Indian J. Math. 14 (1972), 45-48) on $|C,1{|_k}$ summability factors, has been proved.References
- Hüseyin Bor, On two summability methods, Math. Proc. Cambridge Philos. Soc. 97 (1985), no. 1, 147–149. MR 764503, DOI 10.1017/S030500410006268X
- 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 E. Kogbetliantz, Sur les séries absolument sommables par la méthode des moyennes arithmétiques, Bull. Sci. Mat. 49 (1925), 234-256.
- S. M. Mazhar, On $C,\,1_{k}$ summability factors of infinite series, Indian J. Math. 14 (1972), 45–48. MR 333519
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 71-75
- MSC: Primary 40F05; Secondary 40G05
- DOI: https://doi.org/10.1090/S0002-9939-1993-1155594-4
- MathSciNet review: 1155594