Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.




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