| （0,1;0）-INTERPOLATION ON INFINITE INTERVAL （-∞, ＋∞） |
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| 引用本文： | Pankaj Mathur. （0,1;0）-INTERPOLATION ON INFINITE INTERVAL （-∞, ＋∞）[J]. 分析论及其应用, 2006, 22(2): 105-113. DOI: 10.1007/BF03218703 |
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| 作者姓名： | Pankaj Mathur |
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| 作者单位： | Lucknow University, Lucknow |
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| 摘 要： | In this paper, we study the explicit representation and convergence of （0, 1;0）-interpolation on infisite interval, which means to determine a polynomial of degree ≤ 3n - 2 when the function values areprescribed at two set of points namely the zeros of Hn（x） and H′n （x） and the first derivatives at the zerosof H′n（x）.
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| 关 键 词： | 插值 厄密多项式 收敛 无穷间隔 |
| 收稿时间： | 2004-06-01 |
(0,1;0)-Interpolation on infinite interval (−∞, +∞) |
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| Pankaj Mathur. (0,1;0)-Interpolation on infinite interval (−∞, +∞)[J]. Analysis in Theory and Applications, 2006, 22(2): 105-113. DOI: 10.1007/BF03218703 |
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| Authors: | Pankaj Mathur |
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| Affiliation: | 1. Department of Mathematics and Astronomy, Lucknow University, Lucknow, India
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| Abstract: | In this paper, we study the explicit representation and convergence of (0, 1; 0)-interpolation on infinite interval, which means to determine a polynomial of degree ≤3n −2 when the function values are prescribed at two set of points namely the zeros of Hn(x) and Hn′(x) and the first derivatives at the zeros of Hn′(x). |
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| Keywords: | interpolation Hermite polynomials convergence |
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