SANDWICH THEOREMS FOR OPERATORS OF CONVEX TYPE

[摘要] This note centers around a class of operators from a real vector space into a Dedekind complete ordered real vector space, which satisfy the usual convexity inequalities only with respect to some given subset Lambda of the unit interval. It is shown that between a Lambda-concave and a Lambda-convex operator one can always find a Lambda-affine operator. Several applications of this sandwich principle are given. (C) 1994 Academic Press, Inc.

[发布日期] 1994-12-15