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.

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