Peter Kahlig

On a generalized Dhombres functional equation

Summary. We consider the functional equation

On the solutions of a functional equation of dhombres

f(xf(x))=\varphi (f(x))

On a class of composite functional equations in a single variable

where

Invariant means related to classical weighted means

\varphi: J\rightarrow J

ENVELOPES OF SPECIAL CLASS OF ONE-PARAMETER FAMILIES OF CURVES

is a given increasing homeomorphism of an open interval

Functional equations involving the logarithmic mean

J \subset (0,\infty)

On the Composition of Homogeneous Quasi-Arithmetic Means

, and

On a parametric functional equation of Dhombres type

f:(0,\infty )\rightarrow J

On a functional equation related to competition

is an unknown continuous function. If 1 is a fixed point of

Logarithmic complementary means and an extension of Carlson's log

\varphi