2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78877Recently O. Sarig has introduced and explored the concept of positively recurrent functions. In this paper we construct a natural wide class of such functions and we showthat they have stronger ergodic properties than the general functions considered in Sarig's paper.13 pagesDynamical SystemsFunctional Analysis28D05, 28D20A new class of positive recurrent functionstext