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This article is cited in 1 scientific paper (total in 2 paper)
On $n$-Term Approximations with Respect to Frames Bounded in $L^p(0,1)$, $2<p<\infty$
B. S. Kashina, A. V. Meleshkinab
a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b M. V. Lomonosov Moscow State University
Abstract:
In this paper, best canonical $n$-term approximations in the norm of the spaces $L^2(0,1)$ of the family $\mathbb I$ 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.
DOI:
https://doi.org/10.4213/mzm10456
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English version:
Mathematical Notes, 2014, 95:6, 775–779
Bibliographic databases:
   
UDC:
517.518.8
Received: 26.12.2013
Citation:
B. S. Kashin, A. V. Meleshkina, “On $n$-Term Approximations with Respect to Frames Bounded in $L^p(0,1)$, $2<p<\infty$”, Mat. Zametki, 95:6 (2014), 830–835; Math. Notes, 95:6 (2014), 775–779
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/mz10456https://doi.org/10.4213/mzm10456 http://mi.mathnet.ru/eng/mz/v95/i6/p830
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Erratum
This publication is cited in the following articles:
-
A. V. Meleshkina, “Fourier Coefficients of Characteristic Functions of Intervals with Respect to a Complete Orthonormal System Bounded in $L^p([0,1])$, $2<p<\infty$”, Math. Notes, 97:4 (2015), 647–651
  -
B. S. Kashin, A. V. Meleshkina, “Letter to the Editor”, Math. Notes, 101:4 (2017), 751–751
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