Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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
Some new Fourier inequalities for unbounded orthogonal systems in Lorentz–Zygmund spaces
L.N. Gumilyov Eurasian National University, Republic of Kazakhstan; Ural Federal University, Russia.
UiT The Arctic University of Norway.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013). UiT The Arctic University of Norway.
2020 (English)In: Journal of inequalities and applications (Print), ISSN 1025-5834, E-ISSN 1029-242X, p. 1-12, article id 77Article in journal (Refereed) Published
Abstract [en]

In this paper we prove some essential complements of the paper (J. Inequal. Appl.2019:171, 2019) on the same theme. We prove some new Fourier inequalities in thecase of the Lorentz–Zygmund function spaces Lq,r(log L)α involved and in the casewith an unbounded orthonormal system. More exactly, in this paper we prove anddiscuss some new Fourier inequalities of this type for the limit case L2,r(log L)α, whichcould not be proved with the techniques used in the paper (J. Inequal. Appl.2019:171, 2019).

Place, publisher, year, edition, pages
Springer, 2020. p. 1-12, article id 77
Keywords [en]
Inequalities; Fourier series; Fourier coefficients; Unbounded orthogonal systems; Lorentz–Zygmund spaces
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-77403DOI: 10.1186/s13660-020-02344-6ISI: 000520832200001OAI: oai:DiVA.org:kau-77403DiVA, id: diva2:1421247
Available from: 2020-04-02 Created: 2020-04-02 Last updated: 2020-04-27Bibliographically approved

Open Access in DiVA

fulltext(2825 kB)14 downloads
File information
File name FULLTEXT01.pdfFile size 2825 kBChecksum SHA-512
7b46b735e531f71895a6897ff2666801ac33c808e9829a963d0168564c6b84191b01c6ff5610cfbfe165a56315692906f52b9c9731ba6a071ebeea7f78685c1f
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Authority records BETA

Persson, Lars-Erik

Search in DiVA

By author/editor
Persson, Lars-Erik
By organisation
Department of Mathematics and Computer Science (from 2013)
In the same journal
Journal of inequalities and applications (Print)
Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 14 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 12 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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