Abstract Pythagorean Theorem and Corresponding Functional Equations

Ger, Roman

doi:10.2478/tmmp-2013-0020

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Abstract Pythagorean Theorem and Corresponding Functional Equations

Tatra Mountains Mathematical Publications

Volume 55 (2013): Issue 1 (August 2013)

By: Roman Ger

Open Access

|Aug 2013

Abstract

Motivated by a result of [Lucio R. Berrone: The associativity of the Pythagorean law, Amer. Math. Monthly 116 (2009), 936-939] we deal with the functional equation

and its variants to distinguish the classical Pythagorean theorem from among its numerous abstract generalizations.

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