| 关于广义Taylor中值定理中间点函数可微性的进一步讨论 |
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| 引用本文： | 张芯语,张树义.关于广义Taylor中值定理中间点函数可微性的进一步讨论[J].井冈山大学学报（自然科学版）,2018(2):5-13. |
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| 作者姓名： | 张芯语 张树义 |
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| 作者单位： | 渤海大学数理学院 |
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| 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。
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| 关 键 词： | 广义Taylor中值定理 中间点函数 可微性 |
| 收稿时间： | 2017/1/13 0:00:00 |
| 修稿时间： | 2017/2/18 0:00:00 |
FURTHER DISCUSS ON DIFFERENTIABILITY OF INTERMEDIATE POINT FUNCTION FOR GENERALIZED TAYLOR MEAN VALUE THEOREM |
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| ZHANG Xin-yu and ZHANG Shu-yi.FURTHER DISCUSS ON DIFFERENTIABILITY OF INTERMEDIATE POINT FUNCTION FOR GENERALIZED TAYLOR MEAN VALUE THEOREM[J].Journal of Jinggangshan University(Natural Sciences Edition),2018(2):5-13. |
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| Authors: | ZHANG Xin-yu and ZHANG Shu-yi |
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| Institution: | College of Mathematics and Physics, Bohai University, Jinzhou, Liaoning 121013, China and College of Mathematics and Physics, Bohai University, Jinzhou, Liaoning 121013, China |
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| Abstract: | 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. |
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| Keywords: | generalized Taylor mean value theorem intermediate point function differentiability |
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