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Optimal Recovery of Functions on the Sphere on a Sobolev Spaces with a Gaussian Measure in the Average Case Setting

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摘要 Inthispaper,westudyoptimalrecovery(reconstruction)offunctionsonthesphereintheaveragecasesetting.WeobtaintheasymptoticordersofaveragesamplingnumbersofaSobolevspaceonthespherewithaGaussianmeasureintheLd-1q(S)metricfor1≤q≤∞,andshowthatsomeworst-caseasymptoticallyoptimalalgorithmsarealsoasymptoticallyoptimalintheaveragecasesettingintheLdq(S-1)metricfor1≤q≤∞.

DOI pj09vzw0jy/1538099

作者 Zexia Huang;Heping Wang

机构地区不详

出处《分析理论与应用：英文刊》 2015年2期

关键词 SOBOLEV空间测量范围平均数最优恢复球面函数设置

分类 [理学][基础数学]

出版日期 2015年02月12日（中国期刊网平台首次上网日期，不代表论文的发表时间）

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来源期刊

分析理论与应用：英文刊

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SOBOLEV空间测量范围平均数最优恢复球面函数设置

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