Abstract
In this paper, a known result dealing with \(|\bar{N},p_{n};\theta _{n}|_{k}\) summability factors of infinite series, has been proved under weaker conditions. And then this result has been applied to the trigonometric Fourier series. Some new results have also been obtained.
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Bor, H. On Absolute Summability of Factored Infinite Series and Trigonometric Fourier Series. Results Math 73, 116 (2018). https://doi.org/10.1007/s00025-018-0877-7
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DOI: https://doi.org/10.1007/s00025-018-0877-7
Keywords
- Weighted arithmetic mean
- summability factors
- power increasing sequences
- infinite series
- Fourier series
- sequence space
- Hölder inequality
- Minkowski inequality