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 ...

The main results of this paper give a connection between strong Jensen convexity and strong convexity type inequalities. We are also looking for the optimal Takagi type function of strong convexity.

This course discusses basic convex analysis (convex sets, functions, and optimization problems), optimization theory (linear, quadratic, semidefinite, and geometric programming; optimality conditions ...

The Sum Squares function, also referred to as the Axis Parallel Hyper-Ellipsoid function, has no local minimum except the global one. It is continuous, convex and unimodal. It is shown here in its two ...