关于对称导数的中值定理及其逆问题

摘要

First, this paper illustrates the irrationality of Theorem 6 and Theorem 7 in Literature 1. Then the paper rede-fines Rolle Theorem, Lagrange's Mean Value Theorem, Cauchy's Mean Value Theorem, and Taylor's Mean Value Theorem of the Symmetric Derivative. Finally the paper discusses the inverse problem of Lagrange's Mean Value Theorem, Cauchy's Mean Value Theorem and Taylor's Mean Value Theorem.%　　本文通过指出文献[1]中定理6和定理7的不合理性，重新给出对称导数下的 Rolle 定理、Lagrange 中值定理、Cauchy 中值定理和 Taylor 中值定理，并就 Lagrange 中值定理、Cauchy 中值定理和 Taylor 中值定理的逆问题进行讨论证明。