| 变阶可解族的带权逼近与插值逼近 |
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| 引用本文： | 罗祖华. 变阶可解族的带权逼近与插值逼近[J]. 数学研究及应用, 1993, 13(4): 505-508 |
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| 作者姓名： | 罗祖华 |
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| 作者单位： | 荆州师范专科学校数学系 |
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| 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.
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| 关 键 词： | 带权逼近 插值逼近 切比雪夫逼近 |
| 收稿时间： | 1991-09-11 |
On Weighted and Interpolatory Varisolvent Chebyshev Approximation |
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| Luo Zuhua. On Weighted and Interpolatory Varisolvent Chebyshev Approximation[J]. Journal of Mathematical Research with Applications, 1993, 13(4): 505-508 |
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| Authors: | Luo Zuhua |
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| Affiliation: | Jingzhou Normal College; Hubei; 434100 |
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| Abstract: | 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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