| Birkhoff型三角插值 |
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| 引用本文： | 金国祥,丁勇.Birkhoff型三角插值[J].高等学校计算数学学报,2009,31(4). |
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| 作者姓名： | 金国祥 丁勇 |
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| 作者单位： | 武汉工程大学计算机科学与工程学院,武汉,430073 |
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| 基金项目： | 湖北省教育厅2005年重点科研项目资助课题;项目编号D200515008 |
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| 摘 要： | 1 引言 Birkhoff三角插值是近年来比较活跃的一个研究课题,涉及Birkhoff三角插值的研究文献也很多(如G.G.Lorentz~(1]),沈燮昌~(2])等综合性文章).
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| 关 键 词： | 插值条件 三角多项式类 插值函数 插值问题 三角插值 |
BIRKHOFF TYPE TRIGONOMETRIC INTERPOLATION IN THE FAMILY OF TRIGONOMETRIC POLYNOMIAL |
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| Jin Guoxiang,Ding Yong.BIRKHOFF TYPE TRIGONOMETRIC INTERPOLATION IN THE FAMILY OF TRIGONOMETRIC POLYNOMIAL[J].Numerical Mathematics A Journal of Chinese Universities,2009,31(4). |
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| Authors: | Jin Guoxiang Ding Yong |
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| Institution: | Jin Guoxiang Ding Yong (School of Computer Science & Engineering,Wuhan Institute of Technology,Wuhan 430073) |
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| Abstract: | In this paper, a kind of Birkhoff type trigonometric interpolation problems with equidistant nodes for 2π-periodic functions is discussed in the family of trigonometric polynomial. We find necessary and sufficient condition for the solvable case of this interpolation problem. The expressions of the interpolation basis are constructed. |
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| Keywords: | trigonometric polynomial family of trigonometric polynomial Birkhoff type trigonometric interpolation |
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