Mean convergence of Hermite-Fejer interpolation based on the zeros of Lascenov polynomials
文献类型：期刊论文
| 作者 | Shi, YG |
| 刊名 | CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
 |
| 出版日期 | 1996-03-01 |
| 卷号 | 39期号:1页码:117-128 |
| 关键词 | Hermite-Fejer interpolation mean convergence orthogonal polynomials |
| ISSN号 | 0008-4395 |
| 英文摘要 | Weighted LP mean convergence of Hermite-Fejer interpolation based on the zeros of orthogonal polynomials with respect to the weight \x\(2 alpha+1)(1 - x(2))(beta) (alpha,beta > - 1) is investigated. A necessary and sufficient condition for such convergence for all continuous functions is given. Meanwhile divergence of Hermite-Fejer interpolation in L(p) with p > 2 is obtained. This gives a possible answer to Problem 17 of P. Turan [J. Approx. Theory, 29(1980), p. 40]. |
| 语种 | 英语 |
| WOS记录号 | WOS:A1996UF60000016 |
| 出版者 | CANADIAN MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13190]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 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. Mean convergence of Hermite-Fejer interpolation based on the zeros of Lascenov polynomials[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES,1996,39(1):117-128. |
| APA | Shi, YG.(1996).Mean convergence of Hermite-Fejer interpolation based on the zeros of Lascenov polynomials.CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES,39(1),117-128. |
| MLA | Shi, YG."Mean convergence of Hermite-Fejer interpolation based on the zeros of Lascenov polynomials".CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES 39.1(1996):117-128. |
入库方式： OAI收割
来源：数学与系统科学研究院
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