高阶Hermite-Fejer型插值的渐近估计 |
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引用本文: | 孙燮华.高阶Hermite-Fejer型插值的渐近估计[J].数学研究及应用,1986,6(2):89-93. |
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作者姓名: | 孙燮华 |
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作者单位: | Hangzhou University |
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摘 要: | 1. Introduction Let f∈C-1,1] and X_k=X_(kn)=COSθ_k=COS(2k-1)π/(2n)(k=1,…,n) be the zeros of the Chebyshev polynomial T_n(x)=cosnθ(x=cosθ). Let ω(t) be a given modulus of continuity and H_ω={f;ω(f,t)≤ω(t),for all.t≥0}. In this paper, c will always denote different constant independent of x, n and f and the sign"A~B" means that there exist two positive constants c_1
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收稿时间: | 1983/5/18 0:00:00 |
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