English

A new test for convergence of positive series

Classical Analysis and ODEs 2021-04-13 v1

Abstract

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{47} (6), 452--457 (1941)]. \emph{Bull. Amer. Math. Soc.} \textbf{47}, 452--457 (1941)].

Keywords

Cite

@article{arxiv.2104.04622,
  title  = {A new test for convergence of positive series},
  author = {Vyacheslav Abramov and Meitner Cadena and Edward Omey},
  journal= {arXiv preprint arXiv:2104.04622},
  year   = {2021}
}

Comments

17 pages (16 pages in the journal). The paper is published online, and this is a journal version