Douglas Azevedo ; Thiago P. Andrade - Summability characterizations of positive sequences

cm:9290 - Communications in Mathematics, May 12, 2022, Volume 30 (2022), Issue 1 - https://doi.org/10.46298/cm.9290
Summability characterizations of positive sequences

Authors: Douglas Azevedo ; Thiago P. Andrade

In this paper, we propose extensions for the classical Kummer test, which is a very far-reaching criterion that provides sufficient and necessary conditions for convergence and divergence of series of positive terms. Furthermore, we present and discuss some interesting consequences and examples such as extensions of the Olivier's theorem and Raabe, Bertrand and Gauss's test.


Volume: Volume 30 (2022), Issue 1
Published on: May 12, 2022
Imported on: February 26, 2019
Keywords: Mathematics - Classical Analysis and ODEs,40A05, 40C99


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