This paper proves the converse propositions of the higher order Cauchy Mean Value Theorem and higher order Lagrange Mean Value Theorem under concave and convex function and strictly concave and convex function.

• 在函数凹凸和严格凹凸的条件下 ,文章引出并证明了高阶Cauchy中值定理和高阶Lagrange中值定理的 4个逆命题。