A new application of quasi power increasing sequences. I. (English) Zbl 1288.40010
Summary: In [H. Bor and H. S. Özarslan, Rocky Mt. J. Math. 38, No. 3, 801–807 (2008; Zbl 1170.40003)], we proved a theorem dealing with an application of quasi-\({\sigma}\)-power increasing sequences. In the present paper, we prove that theorem under less and weaker conditions. This theorem also includes some new and known results.
MSC:
| 40D15 | Convergence factors and summability factors |
| 40F05 | Absolute and strong summability |
| 40G99 | Special methods of summability |
| 46A45 | Sequence spaces (including Köthe sequence spaces) |
Citations:
Zbl 1170.40003References:
| [1] | doi:10.1112/plms/s3-7.1.113 · Zbl 0109.04402 · doi:10.1112/plms/s3-7.1.113 |
| [2] | doi:10.1112/plms/s3-8.3.357 · Zbl 0109.04502 · doi:10.1112/plms/s3-8.3.357 |
| [3] | doi:10.1216/RMJ-2008-38-3-801 · Zbl 1170.40003 · doi:10.1216/RMJ-2008-38-3-801 |
| [4] | doi:10.1215/S0012-7094-54-02127-4 · Zbl 0057.30002 · doi:10.1215/S0012-7094-54-02127-4 |
| [5] | doi:10.1112/jlms/s1-16.3.146 · Zbl 0028.21901 · doi:10.1112/jlms/s1-16.3.146 |
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