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