On a Jensen–Hosszú equation I

Zygfryd Kominek

Published: 2009-09-30

Vol. 23 (2009)

On a Jensen–Hosszú equation I

Zygfryd Kominek

Abstract

We solve functional equation of the form
f(x+y−xy) + f(xy) = 2f((x+y)/2)
in the class of functions transforming the space of all reals into itself. We also prove that this equation is stable in the Hyers-Ulam’s sense.

Keywords:

general solutions of functional equations , Jensen and Hoszú functional equations , Hyers–Ulam stability

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Kominek, Z. (2009). On a Jensen–Hosszú equation I. Annales Mathematicae Silesianae, 23, 57–60. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14044

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Vol. 23 (2009)
Published: 2009-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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