等距节点三角插值的Lebesgue常数的渐近展开 |
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引用本文: | 冯恭已.等距节点三角插值的Lebesgue常数的渐近展开[J].计算数学,1985,7(4):420-425. |
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作者姓名: | 冯恭已 |
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作者单位: | 杭州大学 |
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摘 要: | 设 f(x)是以2π为周期的一个周期函数,我们知道对于0,2π]上的2n 1个节点 θ_k=k(2π/(2n 1)),k=0,1,2,…,2n,(1)存在唯一的n次三角多项式L_n(f,θ),满足L_n(f,θ_k)=f(θ_k),k=0,1,2,…,2n。这里
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ASYMPTOTIC EXPANSION OF THE LEBESGUE CONSTANTS ASSOCIATED WITH TRIGONOMETRIC INTERPOLATION CORRESPONDING TO THE EQUIDISTANT NODAL POINTS |
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Institution: | Feng Gong-ji Hangzhou University |
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Abstract: | An infinite asymptotic expansion is given for the Lebesgue constants associatedwith trigonometric interpolation corresponding to the equidistant nodal points. |
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