On the absolute Nörlund summability factors of infinite series

Singh, S. R.

doi:10.1090/S0002-9939-1970-0257646-4

On the absolute Nörlund summability factors of infinite series
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by S. R. Singh

Proc. Amer. Math. Soc. 25 (1970), 684-689

DOI: https://doi.org/10.1090/S0002-9939-1970-0257646-4

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Abstract:

Taking the start from an earlier result on the absolute harmonic summability factors due to S. N. Lal, we obtain in this paper suitable factors $\{ {\epsilon _n}\}$ so that the series $\sum {{a_n}} {\epsilon _n}$ may be summable $|N,\;{p_n}|$, whenever the series $\sum {{a_n}}$ is summable $|C,\;1|$.

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Sur les séries absolument sommables par la méthode des moyennes arithmetiqués

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