MathDB

Miklos Schweitzer 1969_5

Source:

October 15, 2008

functionintegrationcalculusreal analysisreal analysis unsolved

Problem Statement

Find all continuous real functions

f,g

and

h

defined on the set of positive real numbers and satisfying the relation f(x\plus{}y)\plus{}g(xy)\equal{}h(x)\plus{}h(y) for all

x>0

and

y>0

. Z. Daroczy