| 高阶Cauchy中值定理中间点函数的性质 |
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| 引用本文： | 张树义,丛培根,郑晓迪.高阶Cauchy中值定理中间点函数的性质[J].北华大学学报(自然科学版),2017,18(1). |
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| 作者姓名： | 张树义 丛培根 郑晓迪 |
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| 作者单位： | 渤海大学数理学院,辽宁 锦州,121013;锦州师范高等专科学校计算机系,辽宁 锦州,121001 |
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| 摘 要： | 研究高阶Cauchy中值定理"中间点函数"的可微性与渐近性,在一定条件下,建立了高阶Cauchy中值定理"中间点函数"的一阶可微性与渐近性,丰富了数学分析中值定理理论.
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| 关 键 词： | 高阶Cauchy中值定理 中间点函数 可微性 渐近性 |
Properties of Intermediate Point Function for High Order Cauchy Mean Value Theorem |
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| Zhang Shuyi,Cong Peigen,Zheng Xiaodi.Properties of Intermediate Point Function for High Order Cauchy Mean Value Theorem[J].Journal of Beihua University(Natural Science),2017,18(1). |
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| Authors: | Zhang Shuyi Cong Peigen Zheng Xiaodi |
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| Abstract: | The purpose of this paper is to study the differentiable behavior and asymptotic behavior of the intermediate point function in high order Cauchy mean value theorem. The first order differentiable behavior and asymptotic behavior of the intermediate point function for high order Cauchy mean value theorem are established under the certain conditions. We obtain the results to enrich the theory of mean value theorem in mathematical analysis. |
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| Keywords: | high order Cauchy mean value theorem intermediate point function differentiable behavior asymptotic behavior |
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