| 有限差分方程和偶次叠基样条插值 |
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| 引用本文： | 傅凯新.有限差分方程和偶次叠基样条插值[J].湘潭大学自然科学学报,1998,20(3):21-26. |
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| 作者姓名： | 傅凯新 |
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| 作者单位： | 湘潭大学数学系 |
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| 摘 要： | 利用ＥｕｌｅｒＦｒｏｂｅｎｉｕｓ多项式和中点指数ＥｕｌｅｒＦｒｏｂｅｎｉｕｓ多项式给出有限差分方程的幂级数形式的特解，从而进一步给出偶次叠基样条插值误差的渐近展开形式．
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| 关 键 词： | 基样条 叠样条 Euler-Frobenius多项式 渐近展开 |
FINITE DIFFERENCE EQUATION AND EVEN CATDINAL SPLINAONSPLINE INTERPOLATION |
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| Institution: | (Department of Mathematics,Xiangtan University,Xiangtan,411105,China) |
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| Abstract: | In this paper, the special solution with a power series form of finite difference equations was shown by taking advantage of EulerFrobenius polynomial and middle power index EulerFrobenius Polynomial, furthermore, the asymptotic expansion form of even cardinal splinesonsplines interpolation error was given. |
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| Keywords: | cardinal spline cardinal splineonspline EulerFrobenius polynomial asymptotic expansion |
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