Convexity of the Range of Certain Integrals
Convexity of the Range of Certain Integrals
In the line of Lyapunov's convexity theorem, the author considers the subsets H and K obtained from any number h of given integrable n-vector functions by all possible set decompositions and by all possible convex combinations respectively and integration. Both sets are closed and convex, and the author gives a …