On Gaussian quadrature formulas for the Chebyshev weight
文献类型：期刊论文
| 作者 | Shi, YG |
| 刊名 | JOURNAL OF APPROXIMATION THEORY
 |
| 出版日期 | 1999-05-01 |
| 卷号 | 98期号:1页码:183-195 |
| 关键词 | Chebyshev weight Chebyshev polynomials Gaussian quadrature formulas |
| ISSN号 | 0021-9045 |
| 英文摘要 | This paper shows that the Chebyshev weight w(x) = (1 - x(2))(-1/2) is the only weight having the property (up to a linear transformation): For each fixed n, the solutions of the extremal problem integral(-1)(1)\Pi(k-1)(n) (x-x(k))/(m)w(x)\Pi(k=1)(n-1)(x - y(k))\(p) (1 - x(2))(p/2) w(x) dx = min(p=xn+..., Q = xn-1 +...) integral(-1)(1)\P(x)\(m)\Q(x)\(p) (1 - x(2))(p/2) w(x)dx are the same for any m, p greater than or equal to 1. (C) 1999 Academic Press. |
| 语种 | 英语 |
| WOS记录号 | WOS:000080011400009 |
| 出版者 | ACADEMIC PRESS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14171]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Shi, YG |
| 作者单位 | Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shi, YG. On Gaussian quadrature formulas for the Chebyshev weight[J]. JOURNAL OF APPROXIMATION THEORY,1999,98(1):183-195. |
| APA | Shi, YG.(1999).On Gaussian quadrature formulas for the Chebyshev weight.JOURNAL OF APPROXIMATION THEORY,98(1),183-195. |
| MLA | Shi, YG."On Gaussian quadrature formulas for the Chebyshev weight".JOURNAL OF APPROXIMATION THEORY 98.1(1999):183-195. |
入库方式： OAI收割
来源：数学与系统科学研究院
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