JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (04): 24-26.doi: 10.6040/j.issn.1671-9352.0.2014.102

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An important application and estimation of Levy mean

ZHAI Xue-bo, HU Xiu-yan   

  1. School of Mathematics and Statistics, Zaozhuang University, Zaozhuang 277160, Shandong, China
  • Received:2014-03-20 Revised:2014-12-22 Online:2015-04-20 Published:2015-04-17

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Abstract: The theory of optimal reconstruction is an important part of computational complexity, and the estimations of Levy mean are widely used in the study of the optimal recovery problems. An important estimation of Levy mean in Lp spaces with 0<p<∞ was obtained. As an application of this result on the space of spherical polynomials, there exists a spherical polynomial such that the norms are equivalent for 2≤p <∞ under some conditions.

Key words: Levy mean, norm, spherical polynomials

CLC Number: 

  • O174.41
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