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

作　　者：张芯语 张树义[1] ZHANG Xin-yu;ZHANG Shu-yi(College of Mathematics and Physics, Bohai University, Jinzbou,Liaoning 121013, China)

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《井冈山大学学报（自然科学版）》2018年第2期5-13,共9页Journal of Jinggangshan University (Natural Science)

摘　　要：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.

关 键 词：广义Taylor中值定理 中间点函数 可微性 

分 类 号：O171[理学—数学]