| 关于高阶Cauchy中值定理中间点函数可微性的进一步研究 |
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| 引用本文： | 丛培根,张树义. 关于高阶Cauchy中值定理中间点函数可微性的进一步研究[J]. 南通大学学报(自然科学版), 2018, 17(1): 87-94 |
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| 作者姓名： | 丛培根 张树义 |
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| 作者单位： | 渤海大学数理学院 |
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| 基金项目： | 渤海大学研究生创新基金项目（YJC20170036） |
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| 摘 要： | 在较弱条件下,进一步研究了高阶Cauchy中值定理"中间点函数"的一阶可微性与渐近性,所得结果改进和推广了有关文献中的相应结果.
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| 关 键 词： | 高阶Cauchy中值定理；中值定理；中间点函数；可微性 |
Further Study on Differentiability of Intermediate Point Function for High Order Cauchy Mean Value Theorem |
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| CONG Peigen,ZHANG Shuyi. Further Study on Differentiability of Intermediate Point Function for High Order Cauchy Mean Value Theorem[J]. Journal of Nantong University (Natural Science Edition), 2018, 17(1): 87-94 |
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| Authors: | CONG Peigen ZHANG Shuyi |
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| Affiliation: | College of Mathematics and Physics, Bohai University, Jinzhou 121013, China |
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| Abstract: | In this paper, the first order differentiability and asymptotic behavior at point of the intermediate point function for high order Cauchy mean value theorem under weaker conditions were studied. the results were obtained to improve and extend the corresponding results of some references. |
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| Keywords: | high order Cauchy mean value theorem mean value theorem intermediate point function differentiability |
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