Abstract The aim of this paper is to prove that the average function of a trigonometrically ρ -convex function is trigonometrically ρ -convex. Furthermore, we show the existence of support curves ...

ABSTRACT: The aim of this paper is to prove that the average function of a trigonometrically ρ-convex function is trigonometrically ρ-convex. Furthermore, we show the existence of support curves ...

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.

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

Mathematics of Operations Research, Vol. 5, No. 1 (Feb., 1980), pp. 120-125 (6 pages) Necessary and sufficient conditions for convexity of lower semi-continuous quasiconvex functions are given. By ...