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

A real valued function f defined on a real interval I is called (ε,δ)-convex if it satisfies f(tx+(1-t)y)≤ tf(x)+(1-t)f(y)+ε t(1-t)|x-y|+δ for x,y∈ I,t∈ [0,1]. The main results of the paper offer ...

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 ...