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Nonlinear wavelet approximation of periodic function classes with generalized mixed smoothnes

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Abstract

We study the approximation properties of L q -greedy algorithms with respect to the known wavelet type system U d, which consists of shifts of the Dirichlet kernels on Nikol’skii–Besov and Lizorkin–Triebel function classes with given majorant of a mixed modulus of smoothness.

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Authors and Affiliations

  1. Department of Function Theory, Institute of Mathematics and Mathematical Modeling, Pushkin str. 125, 050010, Almaty, Kazakhstan

    S. Balgimbayeva & T. Smirnov

Authors
  1. S. Balgimbayeva
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  2. T. Smirnov
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Correspondence to S. Balgimbayeva.

Additional information

Research was financially supported by the Ministry of Education and Sciences, Republic of Kazakhstan, under grants 5130/GF4 and 5129/GF4.

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Balgimbayeva, S., Smirnov, T. Nonlinear wavelet approximation of periodic function classes with generalized mixed smoothnes. Anal Math 43, 1–26 (2017). https://doi.org/10.1007/s10476-017-0101-0

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  • DOI: https://doi.org/10.1007/s10476-017-0101-0

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