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An investigation concerning the absolute convergence of Fourier series
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
2016 (English)Independent thesis Basic level (degree of Bachelor), 10,5 credits / 16 HE creditsStudent thesis
Abstract [en]

In this Bachelor's thesis we present a few results about the absolute convergence of Fourier series, followed by an example of a differentiable function whose Fourier series does not converge absolutely. In the end we provide a suggestion for future work on generalizing the given example, and we briefly discuss an issue that has not been given much attention in the existing literature on the subject.

Place, publisher, year, edition, pages
2016. , 29 p.
Keyword [en]
Fourier analysis, Absolute convergence, Lipschitz condition, Bernstein's theorem
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:liu:diva-129363ISRN: LiTH-MAT-EX--2016/01--SEOAI: oai:DiVA.org:liu-129363DiVA: diva2:938514
Subject / course
Mathematics
Supervisors
Examiners
Available from: 2016-11-17 Created: 2016-06-17 Last updated: 2017-01-10Bibliographically approved

Open Access in DiVA

An investigation concerning the absolute convergence of Fourier series(421 kB)9 downloads
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Tiger Norkvist, Axel
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf