Vitali Theorems in Non-Newtonian Sense and Non-Newtonian Measurable Functions

Abstract

In this paper, we first state the ν−Vitali theorems in the non-Newtonian sense. In the second part, we give the definition of the non-Newtonian measurable function and the relation between ν−measurable and real measurable functions. We also study some basic properties of ν−-measurable functions.