The relationship of the large deviation rate, $\psi^\ast(a)$, of the mean of independent and identically distributed random variables to their cumulant generating function, $\psi(\lambda)$, is well ...
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 ...
Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...