Full length article: Sampling numbers of periodic Sobolev spaces with a Gaussian measure in the average case setting

  • Authors:

  • Zexia Huang;Heping Wang

  • Affiliations:

  • -;-

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2013

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Abstract

In this paper, we investigate p-average sampling numbers of a periodic Sobolev space W"2^r with a Gaussian measure in the L"q metric for 1@?q@?~ and 0