Variations on a theme

Tamás Glavosits; Péter Erdei; Attila Házy

doi:10.35925/j.multi.2023.4.1

Authors

Tamás Glavosits University of Miskolc
Péter Erdei
Attila Házy University of Miskolc http://orcid.org/0000-0003-3873-1311

DOI:

https://doi.org/10.35925/j.multi.2023.4.1

Keywords:

Archimedean ordered fields, functional equations, general solutions of Pexider functional equations, interval aricmetic, Pexider equations, restricted Pexider functional equations, open intervals, ordered fields

Abstract

In this paper the general solution of the functional equation f(x+y)=g(xy) is given where the unknown function f, and g satisfy the equation for all x, y from the set A, for different typical choices of the set A. The different choices of the set A require significantly different approaches.

Variations on a theme

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