Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



On the absolute Nörlund summability factors of infinite series

Author: S. R. Singh
Journal: Proc. Amer. Math. Soc. 25 (1970), 684-689
MSC: Primary 42.20
MathSciNet review: 0257646
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 $|C,\;1|$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 42.20

Retrieve articles in all journals with MSC: 42.20

Additional Information

Keywords: N&#246;rlund means, absolutely summable <!– MATH $(N,\;{p_n})$ –> <IMG WIDTH="74" HEIGHT="41" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="$(N,\;{p_n})$">, absolute harmonic summability, summability <!– MATH $|C,\;\alpha |$ –> <IMG WIDTH="59" HEIGHT="41" ALIGN="MIDDLE" BORDER="0" SRC="images/img7.gif" ALT="$\vert C,\;\alpha \vert$">, convex sequences, absolute summability factor theorem
Article copyright: © Copyright 1970 American Mathematical Society