| 插值余项的大范围估计及其应用 |
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| 引用本文： | 张建国.插值余项的大范围估计及其应用[J].四川师范大学学报(自然科学版),1990(1). |
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| 作者姓名： | 张建国 |
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| 作者单位： | 四川师范大学数学系 |
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| 基金项目： | 四川师范大学科技基金资助课题 |
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| 摘 要： | 本文给出了代数插值余项中因子f~(q)(ξ_i)(q≥1)的全局性的可计算的上界函数,且是构造性的。特别,获得了Taylor 公式余项中因子f~(n+1)(ξ)的全局性的可计算的上界函数,从而解决了微分学中长期留下的f~(n+1)(ξ)的上界M 一般说不知是多大的难题。
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| 关 键 词： | 超接触插值法 插值余项 插值节点 汇合均差 |
A GLOBAL ESTIMATE AND APPLICATION FOR INTERPOLATING REMAINDER TERM |
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| Zhang Jianguo.A GLOBAL ESTIMATE AND APPLICATION FOR INTERPOLATING REMAINDER TERM[J].Journal of Sichuan Normal University(Natural Science),1990(1). |
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| Authors: | Zhang Jianguo |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper,the Computable Superbound function of factor f(?)in algebraic interpolating re-mainder term is Constructed on space R(?).Particularly,the Computable superbound function of factorf~(n+1)(?)in remainder term of Taylor formula is given.Thus the difficult,long-term open problem indifferential Calculus,how large the superbound M of f~(n+1)(?)is,is solved. |
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| Keywords: | Super-osculatory interpolation interpolating remainder term interpolating knots Confluent difference quotient |
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