A new test for convergence of positive series

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.} $\mathbf{\text{47}}$ (6), 452–457 (1941)]. \emph{Bull. Amer. Math. Soc.} $\mathbf{\text{47}}$, 452–457 (1941)].