| 光滑区域上Hermite插补多项式同时逼近函数及其导数 |
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| 引用本文： | 涂天亮,陈顺卿.光滑区域上Hermite插补多项式同时逼近函数及其导数[J].应用数学,1996,9(3):297-302. |
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| 作者姓名： | 涂天亮 陈顺卿 |
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| 作者单位： | 华北水电学院，河南大学 |
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| 摘 要： | 设Ｄ是复平面上的Ｊｏｒｄａｎ区域，｛ｚｋ｝ｎ－１ｏ是Ｄ上的Ｆｅｊｅｒ点．考虑用Ｈｅｒｍｉｔｅ插值多项式逼近Ｄ内的函数及其导数，在某些边界条件下得出了一致逼近与平均逼近的阶．
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| 关 键 词： | 光滑区域 插补多项式 逼近函数 |
Simultaneous Approximation To Function And lt's Derivative By Hermite lnterpolation Polynomials ln A Smooth Domain |
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| Tu TianLiang,Yang Qiao.Simultaneous Approximation To Function And lt''s Derivative By Hermite lnterpolation Polynomials ln A Smooth Domain[J].Mathematica Applicata,1996,9(3):297-302. |
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| Authors: | Tu TianLiang Yang Qiao |
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| Abstract: | Let D be a Jordan domain in complex plane,and {zk }n-1 be the Fejer points on r=D.In the domain D consider simultaneous approximating to function and its derivative by Hermite interpolation polpondals in Fejer points. The sharp orders of uniform approximation and approximation in the mean are obtained Under some boundary conditions respectively. |
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| Keywords: | Simultaneous approximation Hermite Interpolation Smooth domain |
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