Volume 12, Issue 3
(0,1,,m-2,m) Interpolation for the Laguerre Absissas

Ying-guang Shi

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J. Comp. Math., 12 (1994), pp. 239-247

Published online: 1994-12

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  • Abstract

A necessary and sufficient condition of regularity of 0,1,...,m-2,m interpolation on the zeros of Lauerre polynomials in a manageable form is established. Meanwhicle, the explicit representation of the fundamental polynomials, when they exist is given. Moreover, it is shown that, if the problem of $(0,1,\cdots,m-2,m)$ interpolation has an infinity of solutions, then the general form of the solutions is f0(x)+Cf1(x) with an arbotirary constant C.

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@Article{JCM-12-239, author = {}, title = {(0,1,,m-2,m) Interpolation for the Laguerre Absissas}, journal = {Journal of Computational Mathematics}, year = {1994}, volume = {12}, number = {3}, pages = {239--247}, abstract = {A necessary and sufficient condition of regularity of 0,1,...,m-2,m interpolation on the zeros of Lauerre polynomials in a manageable form is established. Meanwhicle, the explicit representation of the fundamental polynomials, when they exist is given. Moreover, it is shown that, if the problem of $(0,1,\cdots,m-2,m)$ interpolation has an infinity of solutions, then the general form of the solutions is f0(x)+Cf1(x) with an arbotirary constant C. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9295.html} }
TY - JOUR T1 - (0,1,,m-2,m) Interpolation for the Laguerre Absissas JO - Journal of Computational Mathematics VL - 3 SP - 239 EP - 247 PY - 1994 DA - 1994/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9295.html KW - AB - A necessary and sufficient condition of regularity of 0,1,...,m-2,m interpolation on the zeros of Lauerre polynomials in a manageable form is established. Meanwhicle, the explicit representation of the fundamental polynomials, when they exist is given. Moreover, it is shown that, if the problem of $(0,1,\cdots,m-2,m)$ interpolation has an infinity of solutions, then the general form of the solutions is f0(x)+Cf1(x) with an arbotirary constant C.
Ying-guang Shi. (1970). (0,1,,m-2,m) Interpolation for the Laguerre Absissas. Journal of Computational Mathematics. 12 (3). 239-247. doi:
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