Abstract:The paper provides a new test of convergence and divergence of positive
series. In particular, it extends the known test by Margaret Martin [Bull.
Amer. Math. Soc. 47 (1941), 452-457].
We provide new necessary and sufficient conditions for the convergence of positive series developing Bertran-De Morgan and Cauchy type tests given in [M.
We provide new necessary and sufficient conditions for the convergence of positive series developing Bertran-De Morgan and Cauchy type tests given in [M.
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