|
|||||
|
|
| ON THE GENERALIZATIONS OF KALANDIA''''S LEMMA | |
| 作者单位： | Wuhan University，China |
| 基金项目： | 国家自然科学基金 , 武汉大学校科研和教改项目 |
| 摘 要： | Based on Bernstein's Theorem, Kalandia's Lemma describes the error estimate and the smoothness of the remainder under the second part of Holder norm when a Holder function is approximated by its best polynomial approximation. In this paper, Kalandia's Lemma is generalized to the cases that the best polynomial is replaced by one of its four kinds of Chebyshev polynomial expansions, the error estimates of the remainder are given out under Holder norm or the weighted Holder norms. |
ON THE GENERALIZATIONS OF KALANDIA''''S LEMMA |
|
| Yafang Gong. ON THE GENERALIZATIONS OF KALANDIA''''S LEMMA[J]. Analysis in Theory and Applications, 2006, 22(4) | |
| Authors: | Yafang Gong |
| Abstract: | Based on Bernstein's Theorem, Kalandia's Lemma describes the error estimate and the smoothness of the remainder under the second part of H(o)lder norm when a H(o)lder function is approximated by its best polynomial approximation. In this paper, Kalandia's Lemma is generalized to the cases that the best polynomial is replaced by one of its four kinds of Chebyshev polynomial expansions, the error estimates of the remainder are given out under H(o)lder norm or the weighted H(o)lder norms. |
| Keywords: | Chebyshev polynomials Chebyshev norm weighted H(o)lder norm norms weighted error estimates generalized cases Chebyshev polynomial four paper function best polynomial approximation lder Lemma smoothness Theorem Based Bernstein |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |