MathDB
2f(x)=f(x+y)+f(x+2y)

Source: Romanian TST 2011

February 4, 2012
functionLaTeXalgebra proposedalgebra

Problem Statement

Determine all real-valued functions ff on the set of real numbers satisfying 2f(x)=f(x+y)+f(x+2y)2f(x)=f(x+y)+f(x+2y) for all real numbers xx and all non-negative real numbers yy.