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Estimates of probabilistic widths of the diagonal operator of finite-dimensional sets with the Gaussian measure
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  • 作者：Jiehua Zhou (9)
    Yuewu Li (10)
  • 关键词：probabilistic width ; average widths ; Sobolev space ; Gaussian measure
  • 刊名：Journal of Inequalities and Applications
  • 出版年：2013
  • 出版时间：December 2013
  • 年：2013
  • 卷：2013
  • 期：1
  • 全文大小：212KB
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  • 作者单位：Jiehua Zhou (9)
    Yuewu Li (10)

    9. Hulunbeier Vocational and Technological College, Hulunbeier, Inner Mongolia, 021000, China
    10. School of Mathematical Sciences, Hulunbeier University, Hulunbeier, Inner Mongolia, 021008, China
  • ISSN：1029-242X
文摘
In this paper, we estimate the asymptotic orders of probabilistic and average widths of the compact embedding operators from the Sobolev space into ( ) with the Gaussian measure. MSC: 41A10, 41A46, 42A61, 46C99.

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