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μ-AVERAGE N-WIDTHS ON THE WIENER SPACE

μ-AVERAGE N-WIDTHS ON THE WIENER SPACE
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摘要 In this paper we investigate the asymptotic bebaviour of μ-average n-widths of integral operator K on the Wiener space. where K is the inverse operator of an ordinary linear differential operator L of order m. For 1≤p.q<∞ C_n^a(K,W)_(p,q)a_n^a(K,W)_(p,q)n^(-(m)-(1/2) and for p∈(1,∞), q∈(2,∞) d_n^a(K; W)_(p.q)n^(-(m)-(1/2)). In this paper we investigate the asymptotic bebaviour of μ-average n-widths of integral operator K on the Wiener space. where K is the inverse operator of an ordinary linear differential operator L of order m. For 1≤p.q<∞ C_n^a(K,W)_(p,q)a_n^a(K,W)_(p,q)n^(-(m)-(1/2) and for p∈(1,∞), q∈(2,∞) d_n^a(K; W)_(p.q)n^(-(m)-(1/2)).
出处 《Analysis in Theory and Applications》 1994年第3期17-31,共15页 分析理论与应用(英文刊)
基金 Supported by the Fund. of Dooctoral program of NECC.
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