A Nonstandard Approach to Cauchy’s Functional Equation

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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



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