关于广义Taylor中值定理中间点函数可微性的进一步讨论

FURTHER DISCUSS ON DIFFERENTIABILITY OF INTERMEDIATE POINT FUNCTION FOR GENERALIZED TAYLOR MEAN VALUE THEOREM

使用新的分析方法进一步研究广义Taylor中值定理"中间点函数"的可微性,在一定条件下,运用Gamma函数,建立了广义Taylor中值定理"中间点函数"在点a处的一阶可微性,从而改进和推广了有关文献中的相应结果。

The purpose of this paper is further to study the differentiability of intermediate point function in generalized Taylor mean value theorem by using a new analytical method. Under certain conditions, the first order differentiability at a point of the intermediate point function for generalized Taylor mean value theorem are established by using Gamma function, which improve and extend the corresponding results of some reference.