A Theorem on Absolute Summability Factors
Matematičeskie zametki, Tome 86 (2009) no. 4, pp. 491-496

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A theorem on $|\overline N,p_n|_k$-summability factors of infinite series is proved under weaker conditions. A new result concerning the $|C,1|_k$-summability factors is also obtained.
Keywords: absolute summability, summability factors, power increasing sequences, almost increasing sequence, Riesz mean, Hölder's inequality.
@article{MZM_2009_86_4_a1,
     author = {H. Bor},
     title = {A {Theorem} on {Absolute} {Summability} {Factors}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {491--496},
     publisher = {mathdoc},
     volume = {86},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_86_4_a1/}
}
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H. Bor. A Theorem on Absolute Summability Factors. Matematičeskie zametki, Tome 86 (2009) no. 4, pp. 491-496. http://geodesic.mathdoc.fr/item/MZM_2009_86_4_a1/