Abstract
In this paper, we generalize some known theorems by using a general class of quasi power increasing sequences, which is a wider class of sequences, instead of an almost increasing sequence. These theorems also include some known and new results.
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Bor, H. Some new results on infinite series and Fourier series. Positivity 19, 467–473 (2015). https://doi.org/10.1007/s11117-014-0309-1
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DOI: https://doi.org/10.1007/s11117-014-0309-1
Keywords
- Fourier series
- Infinite series
- Nörlund mean
- Cesàro mean
- Increasing sequence
- Quasi monotone sequence
- Sequence space
- Hölder inequality
- Minkowski inequality