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On greedy algorithm by renormed Franklin system
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.). Yerevan State University, Armenia.ORCID iD: 0000-0003-4834-6476
2010 (English)In: East Journal on Approximations, ISSN 1310-6236, Vol. 16, no 3, 273-296 p.Article in journal (Refereed) Published
Abstract [en]

We characterize the all weighted greedy algorithms with respect to Franklin system which converge uniformly for continuous functions and almost everywhere for integrable functions. In case, when the algorithm fails to satisfy our classification criteria, we construct a continuous function for which the corresponding approximation diverges unboundedly almost everywhere. Some applications to wavelet systems are also discussed. 

Place, publisher, year, edition, pages
2010. Vol. 16, no 3, 273-296 p.
Keyword [en]
Greedy algorithm, Franklin system, wavelet, convergence
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-208501OAI: oai:DiVA.org:kth-208501DiVA: diva2:1111108
Note

QC 20170620

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

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Other links

https://www.researchgate.net/publication/259849643_On_greedy_algorithm_by_renormed_Franklin_system

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CiteExportLink to record
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  • apa
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