| 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].井冈山大学自然版,2018,(2):5-13 |
| 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 |
| 投稿时间：2017-01-13 修订日期：2017-02-18 |
| DOI：10.3969/j.issn.1674-8085.2018.02.002 |
| 中文关键词: 广义Taylor中值定理 中间点函数 可微性 |
| 英文关键词: generalized Taylor mean value theorem intermediate point function differentiability |
| 基金项目: |
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| 摘要点击次数: 1656 |
| 全文下载次数: 1998 |
| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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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