Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...

Transactions of the American Mathematical Society, Vol. 192 (May, 1974), pp. 285-292 (8 pages) The closed convex hull and extreme points are obtained for the functions which are convex, starlike, and ...

Abstract. As one of the main results we prove that if 𝑓 has Lagrange unique property then 𝑓 is strictly convex or concave (we do not assume continuity of the derivative), Theorem 2.1. We give two ...