The aim of this work is to introduce new classes of functions called Stepanov-Orlicz ergodic functions, which generalize in a natural way the classical Stepanov ergodicity introduced by Diagana. Comparative study of these new functions is investigated. Examples and counterexamples are presented.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.