Characterizations of Best L_p(1≤p≤+ ∞) Approximation With Restricted Ranges of Derivatives |
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引用本文: | 许树声.Characterizations of Best L_p(1≤p≤+ ∞) Approximation With Restricted Ranges of Derivatives[J].数学进展,1993(1). |
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作者姓名: | 许树声 |
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摘 要: | Let a,b] be a compact set containing at least n + 1 points. If Φ_n = span(φ_1, φ_2,…, φ_n) is an n-dimensional subspace of L,a, b] m φ_1~(s), φ_2~(s)…, φ_n~(s)exist (s≥0is an integer) and have a maximal linearly independent subset which is an extendedChebyshev system of order rs on a,b], then write
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