Generalized Geometric Programming for Functionals

摘要

A duality theory is constructed which extends generalised geometric programming in finite dimensions to function spaces. The analysis exploits the intimate relationship that exists between Lagrange duality and conjugate duality. A particular example involving convex integral functionals is considered. The approach used suggests a new and simple derivation of generalised geometric programming in finite dimensions. AMS(MOS): 49D49, 90C25