MathDB

Functions

Source: 0

February 21, 2009

function

Problem Statement

Find all functions

f: \mathbb{R}\longrightarrow \mathbb{R}

such that f(x\plus{}y)\plus{}f(y\plus{}z)\plus{}f(z\plus{}x)\ge 3f(x\plus{}2y\plus{}3z) for all

x, y, z \in \mathbb R