ON STATISTICAL LIMIT POINTS WITH RESPECT TO POWER SERIES METHODS AND MODULUS FUNCTIONS

Abstract

In this study, we define a new type of statistical limit point us-ing the notions of statistical convergence with respect to the Jp power series method and then we present some examples to show the relations between these points and ordinary limit points. After that we also study statistical limit points of a sequence with the help of a modulus function in the sense of the Jp power series method. Namely, we define f-Jp- statistical limit and cluster points of the real sequences and compare the set of these limit points with the set of ordinary points.