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  • Aleksanyan, Hayk, 1987- (author)
  • Nonlinear approximation by renormalized trigonometric system
  • 2012
  • In: Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). - : Springer. - 1068-3623. ; 47:2, s. 86-96
  • Journal article (peer-reviewed)abstract
    • We study the convergence of greedy algorithmwith regard to renormalized trigonometric system. Necessary and sufficient conditions are found for system’s normalization to guarantee almost everywhere convergence, and convergence in Lp(T) for 1 < p < ∞ of the greedy algorithm, where T is the unit torus. Also the non existence is proved for normalization which guarantees convergence almost everywhere for functions from L1(T), or uniform convergence for continuous functions.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Aleksanyan, Hayk, 19 ... (1)
University
Royal Institute of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2012 (1)

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