| 关于泰勒公式中间点函数的可微性 |
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| 引用本文： | 李丹,张树义. 关于泰勒公式中间点函数的可微性[J]. 井冈山大学学报(自然科学版), 2016, 0(6): 11-14 |
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| 作者姓名： | 李丹 张树义 |
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| 作者单位： | 渤海大学数理学院, 辽宁, 锦州 121013,渤海大学数理学院, 辽宁, 锦州 121013 |
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| 摘 要： | 利用比较函数概念,研究泰勒公式"中间点函数"的渐近性和可微性,在一定条件下,建立了泰勒公式"中间点函数"在点a处的一阶可微性和渐近性。获得的结果推广和改进了有关文献中的新近结果。
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| 关 键 词： | 比较函数 泰勒公式 中间点函数 可微性 渐近性 |
| 收稿时间： | 2016-06-29 |
| 修稿时间： | 2016-09-12 |
RESEARCH ON DIFFERENTIABLE BEHAVIOR OF INTERMEDIATE POINT FUNCTION FOR TAYLOR FORMULA |
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| LI Dan and ZHANG Shu-yi. RESEARCH ON DIFFERENTIABLE BEHAVIOR OF INTERMEDIATE POINT FUNCTION FOR TAYLOR FORMULA[J]. Journal of Jinggangshan University(Natural Sciences Edition), 2016, 0(6): 11-14 |
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| Authors: | LI Dan and ZHANG Shu-yi |
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| Affiliation: | College of Mathematics and Physics, Bohai University, Jinzhou, Liaoling 121013, China and College of Mathematics and Physics, Bohai University, Jinzhou, Liaoling 121013, China |
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| Abstract: | Based on the concept of comparison function, we study the differentiable behavior of the intermediate point function in Taylor formula. The asymptotic behavior and first order differentiable behavior at a point of the intermediate point function for Taylor formula are established under certain conditions. We obtain the results to improve and extend the recent results of some reference. |
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| Keywords: | comparison function Taylor mean value formula intermediate point function differentiable behavior asymptotic behavior |
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