3 papers
math.CA2026
Generalized inverses of strictly monotone transformations
Péter Tóth
Let be a convex set. The mapping is strictly increasing, if for all disti…
math.CA2026
Improved regularity for a composite functional equation stemming from the theory of means
Tibor Kiss, Péter Tóth
In this paper we describe the solutions of the functional equation \begin{equation*} F\Big(\frac{x+y}2\Big)+f_1(x)+f_2(y)=G \big(g_1(x)+g_2(y)) \end{equation*} defined on an open s…
math.CA2025
Measurable solutions of an alternative functional equation
Péter Tóth
In this paper we investigate the functional equation \[ φ\left( \frac{x+y}{2} \right) \left( ψ_1(x) - ψ_2(y) \right) = 0 \hspace{20mm} \left( \mbox{ for all } x \in I_1 \mbox{ and…