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本文给出了一种广义周期Besov类在周期Sobolev空间中的n-宽度的弱渐近估计。 相似文献
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The Gel'fand n-widths of Besov classes are considered. The weak asymptoticbehavior is established for the corresponding quantity. 相似文献
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Jackson-type inequalities and widths of function classes in L
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S. B. Vakarchuk 《Mathematical Notes》2006,80(1-2):11-18
The sharp Jackson-type inequalities obtained by Taikov in the space L 2 and containing the best approximation and the modulus of continuity of first order are generalized to moduli of continuity of kth order (k = 2, 3, ... ). We also obtain exact values of the n-widths of the function classes F(k, r, Φ) and F k r (h), which are a generalization of the classes F(1, r, Φ) and F k r (h) studied by Taikov. 相似文献
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THE N-WIDTHS FOR A GENERALIZED PERIODIC BESOV CLASSES 总被引:1,自引:0,他引:1
许贵桥 《数学物理学报(B辑英文版)》2005,25(4):663-671
In this paper, an extension of Besov classes of periodic functions on Td is given. The weak asymptotic results concerning the Kolmogorov n-widths, the linear n-widths, and the Gel'fand n-widths are obtained, respectively. 相似文献
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