An application of almost increasing sequences
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2021), pp. 16-20

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In this paper, a general theorem on absolute Cesàro summability of an infinite series is proved by using an almost increasing sequence instead of a positive non-decreasing sequence.
Keywords: almost increasing sequences, Cesàro summability, Hölder's inequality, infinite series, Minkowski's inequality, summability factor.
@article{IVM_2021_11_a1,
     author = {B. Kartal},
     title = {An application of almost increasing sequences},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {16--20},
     publisher = {mathdoc},
     number = {11},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_11_a1/}
}
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B. Kartal. An application of almost increasing sequences. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2021), pp. 16-20. http://geodesic.mathdoc.fr/item/IVM_2021_11_a1/