Statistical extension of classical Tauberian theorems in the case of logarithmic summability of locally integrable functions on $[1,\infty )$

Ferenc Moricz, Zoltan Nemeth

Let $s:[1,\infty) \to \C $ be a locally integrable function in Lebesgue's sense. The logarithmic (also called harmonic) mean of the function $s$ is defined by [τ(t) := \frac 1{\log…