Question 35
Find all functions $f: \mathbb{R}_{\ge 0} \to \mathbb{R}$ that satisfy
$$
2x^3zf(z) + yf(y) \geq 3yz^2f(x)
$$
for all $x, y, z \in \mathbb{R}_{\ge 0}$.
$$
2x^3zf(z) + yf(y) \geq 3yz^2f(x)
$$
for all $x, y, z \in \mathbb{R}_{\ge 0}$.
MathNet 2024-part-04 — 168 problems (EN–VI) Question 35
Math Olympiad Vault · MathNet 2024-part-04 — 168 problems (EN–VI)