A Nonstandard Approach to Cauchy�s Functional Equation

  • Grigore Ciurea Department of Mathematics, Academy of Economic Studies, Piata Romana 6, Bucharest 010374, Romania.
Keywords: Nonstandard analysis, functional equations

Abstract

In this short note we give a nonstandard proof of the well-known result that any Lebesgue measurable function Screenshot_610.png which satisfies the functional equation Screenshot_76.png is continuous.

Published
2020-03-27
How to Cite
Ciurea, G. (2020). Recent Studies in Mathematics and Computer Science Vol. 1, 149-151. Retrieved from https://stm1.bookpi.org/index.php/rsmcs-v1/article/view/1144
Issue
Recent Studies in Mathematics and Computer Science Vol. 1
Section
Articles