| 罗祖华.变阶可解族的带权逼近与插值逼近(英文)[J].数学研究及应用,1993,13(4):505~508 |
| 变阶可解族的带权逼近与插值逼近(英文) |
| On Weighted and Interpolatory Varisolvent Chebyshev Approximation |
| 投稿时间：1991-09-11 |
| DOI：10.3770/j.issn:1000-341X.1993.04.004 |
| 中文关键词: |
| 英文关键词: |
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| 摘要点击次数: 1893 |
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| 中文摘要: |
| 本文讨论了变阶可解逼近族的插值逼近和带权逼近(权在插值点集Z上趋于无穷而在Z外为1)的关系.指出对变阶可解族而言,当逼近解为非亏损时,稠密性假设是自然满足的,且此时的最佳插值逼近等于该带权最佳逼近的极限. |
| 英文摘要: |
| In this paper, we concluded that the Density hypothesis in [5,6,8] is naturally satisfied for varisolvent family; if the best interpolatory Chebyshev approximation on an interval [a,b] is nondegenerate, then there are close relations between the best interpola-tory Chebyshev approximation on [a, b] and the best weighted Chebyshev approximation on subsets of [a, b]. |
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