On absolute double summability methods with high indices. (English) Zbl 1490.40008
Summary: In [M. A. Sarigol, Math. Slovaca 63, No. 5, 1053–1058 (2013; Zbl 1324.40011)], the equivalence \(|C,0|_k\Longleftrightarrow|R,p_n|_k\), \(k\geq 1\), was characterized for infinite single series. In the present paper, this result is extended to double summability by a different approach.
MSC:
| 40F05 | Absolute and strong summability |
| 40D25 | Inclusion and equivalence theorems in summability theory |
| 40C05 | Matrix methods for summability |
| 46A45 | Sequence spaces (including Köthe sequence spaces) |
| 40B05 | Multiple sequences and series |
Citations:
Zbl 1324.40011References:
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