Summability characterizations of positive sequences
Classical Analysis and ODEs
2023-06-22 v3
Abstract
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.
Cite
@article{arxiv.2101.03402,
title = {Summability characterizations of positive sequences},
author = {Douglas Azevedo and Thiago P. Andrade},
journal= {arXiv preprint arXiv:2101.03402},
year = {2023}
}
Comments
12 pages (Accepted for publication in Communications in Mathematics in June 17, 2020 )