| 广义泰勒余项"中值点"的渐近性 |
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| 作者姓名： | REN Li-shun ZHANG Cai-yu |
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| 作者单位： | [1]DepartmentofMathematicsandInformationScience,ZhoukouTeacher＇sCollege,Zhoukou466000,China [2]CollegeofBusinessAdministration,HenanUniversity,Kaifeng475001,China |
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| 基金项目： | Supported by the Natural Seience Foundation of Henan Educational Committee(20031100036) |
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| 摘 要： | This paper discussed asymptotic property of Taylor remainder “mean value point“ in normed Linear space. The asymptotic progerty of “mean value point“ is solved when f^(n i)(x0)h^(n i)=0(i=1,2,……,p-1) and f^(n p)(x0)h^(h p) don‘t exist. Meanwhile, achicve more general asymptotic estimation formula. Make many former results are just because of special case of the pager.
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| 关 键 词： | 渐近性 非线性泛函分析 功能 均值点 |
The Asymptotic Property of Generalized Taylor Remainder "Mean Value Point" |
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| REN Li-shun,ZHANG Cai-yu.The Asymptotic Property of Generalized Taylor Remainder "Mean Value Point"[J].Chinese Quarterly Journal of Mathematics,2004,19(3):314-318. |
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| Authors: | RENLi-shun ZHANGCai-yu |
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| Abstract: | This paper discussed asymptotic property of Taylor remainder "mean value point" in normed Linear space. The asymptotic progerty of "mean value point" is solved when f(n i)(x0)h(n i) = 0(i = 1, 2,..., p - 1) and f(n p)(x0)h(h p) don't exist. Meanwhile, achieve more general asymptotic estimation formula. Make many former results are just because of special case of the pager. |
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