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math.CA2021
A new test for convergence of positive series
Vyacheslav Abramov, Meitner Cadena, Edward Omey
The paper provides a new test of convergence and divergence of positive series. In particular, it extends the known test by Margaret Martin [%\emph{Bull. Amer. Math. Soc.} \textbf{…
math.PR2021
Asymptotics for Kendall's renewal function
[M. Cadena, B. H. Jasiulis-Gołdyn, E. Omey
An elementary renewal theorem and a Blackwell theorem provided by Jasiulis-Gołdyn et al. (2020) in a setting of Kendall convolutions are proved under weaker hypothesis and extended…