Discover the proof that the average function of a trigonometrically ρ-convex function is also trigonometrically ρ-convex. Explore the existence of support curves and their implication on trigonometric ...

De Finetti did not name this class of functions: the term “quasiconvex (quasiconcave) function” was given subsequently by Fenchel [2] . It is well-known that the above characterization is equivalent ...

Milen Ivanov, Nadia Zlateva, A New Proof of the Integrability of the Subdifferential of a Convex Function on a Banach Space, Proceedings of the American Mathematical Society, Vol. 136, No. 5 (May, ...

We prove asymptotic normality of the new estimate and show that it is first order asymptotically equivalent to the initial unconstrained estimate if the regression function is in fact convex.