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Title of Journal: Constr Approx

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Abbravation: Constructive Approximation

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Springer-Verlag

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10.1006/jsvi.2000.3446

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1432-0940

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Probabilistic and Average Linear Widths of Sobole

Authors: Fang Gensun Ye Peixin
Publish Date: 2003/10/10
Volume: 20, Issue: 1, Pages: 159-172
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Abstract

In this paper we investigate the probabilistic linear ndeltawidths and paverage linear nwidths of the Sobolev space Wr 2 equipped with the Gaussian measure mu in the L inftynorm and determine the asymptotic equalities begineqnarray lambda ndeltaWr 2muL infty asympfracsqrtln n/deltanr+s1/23pt lambdaa nWr 2muL infty p asympfracsqrtln nnr+s1/2 qquad 0 p infty endeqnarray


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