Abstract
In this paper, we proved a general theorem dealing with the absolute Cesàro summability factors by using an almost increasing sequence. This new theorem also contains as particular cases several known and new results on the absolute Cesàro summability factors of infinite series.
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Bor, H., Agarwal, R.P. A new application of almost increasing sequences to factored infinite series. Anal.Math.Phys. 10, 26 (2020). https://doi.org/10.1007/s13324-020-00369-0
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DOI: https://doi.org/10.1007/s13324-020-00369-0
Keywords
- Cesàro summability
- Almost increasing sequence
- Summability factors
- Infinite series
- Hölder’s inequality
- Minkowski’s inequality