Given a separated dual system (E, E'), the Fenchel transform determines a pairing of the convex functions on E with the convex functions on E'. This operation is shown to have a continuity property.

Continuation of APPM 4440. Study of multidimensional analysis including n-dimensional Euclidean space, continuity and uniform continuity of functions of several variables, differentiation, linear and ...

This is a preview. Log in through your library . Mathematica Scandinavica has been published regularly since 1953. Mathematica Scandinavica is a non-profit company, which is operated by the five ...