# zbMATH — the first resource for mathematics

A characterization of convex functions in linear spaces. (English) Zbl 0749.46009
Summary: In this note we shall show that every $$J$$-convex and quasiconvex function is convex.

##### MSC:
 46A55 Convex sets in topological linear spaces; Choquet theory 46G05 Derivatives of functions in infinite-dimensional spaces