Abstract
In this paper, we generalize two known theorems dealing with absolute Cesàro and Riesz summability factors by using a quasi-f-power increasing sequence instead of a quasi-\(\sigma \)-power increasing sequence. Some important known theorems are deduced from our theorems.
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Bor, H. Some New Applications of Power Increasing Sequences. Natl. Acad. Sci. Lett. 37, 371–374 (2014). https://doi.org/10.1007/s40009-014-0245-4
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DOI: https://doi.org/10.1007/s40009-014-0245-4
Keywords
- Cesàro mean
- Riesz mean
- Sequence spaces
- Summability factors
- Infinite series
- Increasing sequences
- Hölder inequality
- Minkowski inequality