2006Acta Scientiarum Naturalium Universitatis SunyatseniRequires access

APPROXIMATION PROPERTIES OF LAGRANGE INTERPOLATION POLYNOMIAL BASED ON THE ZEROS OF (1- x^2)cosnarccosx

Laiyi, Жу

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Abstract

我们基于中的零个学习 Lagrange 插值多项式的一些近似性质(1 - x~2 ) cos n axccos x。由为 f (x)∈ C~rC~( r+1 )使用分解,我们获得反映 x 的位置的影响的 ‖f (x)-L_(n+2)(f,x)‖的估计“沙ω(f~(( r+1 )),δ) _j , j = 0,1 ,···, s ,在近似的错误上。

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What this paper is about

我们基于中的零个学习 Lagrange 插值多项式的一些近似性质(1 - x~2 ) cos n axccos x。由为 f (x)∈ C~rC~( r+1 )使用分解,我们获得反映 x 的位置的影响的 ‖f (x)-L_(n+2)(f,x)‖的估计“沙ω(f~(( r+1 )),δ) _j , j = 0,1 ,···, s ,在近似的错误上。

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Available abstract

我们基于中的零个学习 Lagrange 插值多项式的一些近似性质(1 - x~2 ) cos n axccos x。由为 f (x)∈ C~rC~( r+1 )使用分解,我们获得反映 x 的位置的影响的 ‖f (x)-L_(n+2)(f,x)‖的估计“沙ω(f~(( r+1 )),δ) _j , j = 0,1 ,···, s ,在近似的错误上。

Key concepts: Lagrange polynomial, Mathematics, Interpolation (computer graphics), Applied mathematics, Polynomial interpolation, Polynomial, Mathematical analysis, Trigonometric interpolation

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