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多中心泰洛定理及其应用
引用本文:桂祖华.多中心泰洛定理及其应用[J].上海交通大学学报,1995(2).
作者姓名:桂祖华
摘    要:提出了多中心泰洛多项式的新概念,建立了多中心泰洛定理,它是通常的泰洛定理的推广.文中还给出了这理论在积分、近似计算及不等式方面的应用.

关 键 词:多中心泰洛多项式,多中心泰洛定理,多中心泰洛展开,半有理函数

Taylor's Theorem of Several Centers and Their Applications
Gui Zuhua.Taylor''''s Theorem of Several Centers and Their Applications[J].Journal of Shanghai Jiaotong University,1995(2).
Authors:Gui Zuhua
Abstract:A new concept of Taylor's polynomial of several centers is proposed in this paper and Taylor's theorem of several centers is established, resulting in the generalization of conventional Taylor's theorem. This article also gives the applications of this theorem in the fields of integral,approximate computation and inequality.
Keywords:Taylor's polynomial of several centers  Taylor's theorem of several centers  Taylor's expansion of several centers  semi-rational function
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