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Nonlinear approximation by renormalized trigonometric system
Yerevan State University.
2012 (English)In: Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), ISSN 1068-3623, Vol. 47, no 2, 86-96 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Springer, 2012. Vol. 47, no 2, 86-96 p.
Keyword [en]
Nonlinear approximation, greedy algorithm, trigonometric system
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-208502DOI: 10.3103/S1068362312020057ISI: 000303342400005ScopusID: 2-s2.0-84860200845OAI: oai:DiVA.org:kth-208502DiVA: diva2:1111109
Note

QC 20170620

Available from: 2017-06-17 Created: 2017-06-17 Last updated: 2017-06-20Bibliographically approved

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Publisher's full textScopushttps://www.researchgate.net/publication/257914637_Nonlinear_approximation_by_renormalized_trigonometric_system

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Aleksanyan, Hayk
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