Non-Newtonian Comment of Lebesgue Measure in Real Numbers

Abstract

We would like to generalize to non-Newtonian real numbers the usual Lebesgue measure in real numbers. For this purpose, we introduce the Lebesgue measure on open and closed sets in non-Newtonian sense and examine their basic properties. © 2017 Cenap Duyar and Birsen Saǧir.