We present a convex-like structure of set functions on sigma-algebras of nonatomic finite measure spaces. We introduce a convex subset of sigma-algebra and a convex set function. We prove Jensen inequality for mi-convex functions.
We present a convex-like structure of set functions on sigma-algebras of nonatomic finite measure spaces. We introduce a convex subset of sigma-algebra and a convex set function. We prove Jensen inequality for mi-convex functions. (en)