A Nonstandard Approach to Cauchy’s Functional Equation | Chapter 11 | Recent Studies in Mathematics and Computer Science Vol. 1
In this short note we give a nonstandard proof of the well-known result that any Lebesgue measurable function : ℝ → ℝ which satisfies the functional equation (+)=()+() is continuous. Author(s) Details Grigore Ciurea Department of Mathematics, Academy of Economic Studies, Piata Romana 6, Bucharest 010374, Romania. View Book : - http://bp.bookpi.org/index.php/bpi/catalog/book/153