On a Jensen–Hosszú equation I



Abstract

We solve functional equation of the form
f(x+yxy) + 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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Published : 2009-09-30


KominekZ. (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

Zygfryd Kominek  zkominek@ux2.math.us.edu.pl
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland



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