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Mathematical Notes

, Volume 95, Issue 5–6, pp 775–779 | Cite as

On n-term approximations with respect to frames bounded in L p (0, 1), 2 < p < ∞

  • B. S. KashinEmail author
  • A. V. Meleshkina
Article
  • 47 Downloads

Abstract

In this paper, best canonical n-term approximations in the norm of the spaces L 2(0, 1) of the family I of characteristic functions of intervals are studied.

Keywords

best canonical n-term approximation tight frame Haar system Bessel’s inequality Rademacher function Khinchine’s inequality 

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References

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    I. Ya. Novikov, V. Yu. Protasov, and M. A. Skopina, Wavelet Theory (Fizmatlit, Moscow, 2005) [in Russian].zbMATHGoogle Scholar
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    B. S. Kashin, “On lower estimates for n-term approximation in Hilbert spaces,” in Approximation Theory (DARBA, Sofia, 2002), pp. 241–257.Google Scholar
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    B. S. Kashin and T. Yu. Kulikova, “On the validity for frames of a result concerning orthogonal systems,” Mat. Zametki 77(2), 311–312 (2005) [Math. Notes 77 (2), 280–282 (2005)].MathSciNetCrossRefzbMATHGoogle Scholar
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    B. C. Kashin and A. A. Saakyan, Orthogonal Series (Izd. AFTs, Moscow, 1999) [in Russian].zbMATHGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia
  2. 2.Moscow State UniversityMoscowRussia

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