An important function which is neither concave nor convex often arises in production and inventory models. This function is herein called piecewise concave and can be considered to be a generalization ...

A class of generalized convex functions, the hyperbolic-concave functions, is defined, and used to characterize the collection of Hardy-Littlewood maximal functions. These maximal functions and the ...

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