Affiliation:
1. Department of Mathematics , Pamukkale University , TR-20007 , Denizli , Turkey
Abstract
Abstract
In a recent paper, [Sarigöl, M. A.: Characterization of summability methods with high indices, Math. Slovaca 63 (2013), 1053–1058], the equivalence ∣C, 0∣
k
⟺ ∣R, pn
∣
k
, k ≥ 1, was characterized for infinite single series. In the present paper, this result is extended to doubly summability a different approach.
Reference12 articles.
1. Bor, H.: Some equivalence theorems on absolute summability methods, Acta Math. Hungar. 149 (2016), 208–214.
2. Bor, H.—Thorpe, B.: On some absolute summability methods, Analysis 7 (1987), 145–152.
3. Bosanquet, L. S.: Review on G. Sunouchi’s paper – Notes on Fourier analysis (XVIII): Absolute summability of series with constant terms, Mathematical Reviews 11 (1950), 654.
4. Flett, T. M.: On an extension of absolute summability and theorems of Littlewood and Paley, Proc. London Math. Soc. 7 (1957), 113–141.
5. Rhoades, B. E.: Absolute comparison theorems for double weighted mean and double Cesàro means, Math. Slovaca 48 (1998), 285–291.
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