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Nonlinear approximation by renormalized trigonometric system
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- Aleksanyan, Hayk, 1987- (author)
- Yerevan State University
- (creator_code:org_t)
- Springer, 2012
- 2012
- English.
- In: Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). - : Springer. - 1068-3623. ; 47:2, s. 86-96
- Journal article (peer-reviewed)
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Nonlinear approximation
- greedy algorithm
- trigonometric system
- Mathematics
- Matematik
Publication and Content Type
- ref (subject category)
- art (subject category)
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