A functional equation related to an equality of means problem
Volume 122 / 2011
Colloquium Mathematicum 122 (2011), 289-298
MSC: Primary 39B22; Secondary 26E60.
DOI: 10.4064/cm122-2-14
Abstract
The functional equation $$ \frac{F(x)-F(y)}{x-y}=\frac{G(x)+G(y)}{H(x)+H(y)}% $$ where $F,G,H$ are unknown functions is considered. Some motivations, coming from the equality problem for means, are presented.
