Change search
CiteExportLink to record
Permanent link

Direct link
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
On inequalities and asymptotic expansions for the Landau constants
Karlstad University, Faculty of Technology and Science, Department of Mathematics.
2012 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 386, no 2, 738-743 p.Article in journal (Refereed) Published
Abstract [en]

We demonstrate how arbitrarily sharp asymptotic expansions for the Landau constants can be derived, and we prove some related inequalities. The main tool used is Brounckerʼs continued fraction formula. We also show that the implied series expansion of the Landau constants is in fact divergent.

Place, publisher, year, edition, pages
2012. Vol. 386, no 2, 738-743 p.
Keyword [en]
Landau constants, Inequalities, Asymptotic expansions, Brounckerʼs formula, Continued fractions
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-9052DOI: 10.1016/j.jmaa.2011.08.035ISI: 000295563500022OAI: oai:DiVA.org:kau-9052DiVA: diva2:472867
Available from: 2012-01-04 Created: 2012-01-04Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Authority records BETA

Granath, Håkan

Search in DiVA

By author/editor
Granath, Håkan
By organisation
Department of Mathematics
In the same journal
Journal of Mathematical Analysis and Applications
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 49 hits
CiteExportLink to record
Permanent link

Direct link
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