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
Relations between functional norms of a non-negative function and its square root on the positive cone of Besov and Triebel-Lizorkin spaces
Narvik University College, 8505 Narvik, Norway.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-7620-9386
2009 (English)In: Applications of Mathematics in Engineering and Economics: proceedings of the 35th International Conference, Sozopol, Bulgaria, 7 - 12 June 2009 / [ed] George Venkov; Ralitza Kovacheva; Vesela Pasheva, Melville, NY: American Institute of Physics (AIP), 2009, 3-15 p.Conference paper, Published paper (Refereed)
Abstract [en]

In this communication we study in detail the relations between the smoothness of f and √f in the case when the smoothness of the univariate non-negative functions f is measured via Besov and Triebel-Lizorkin space scales. The results obtained can be considered also as embedding theorems for usual Besov and Triebel-Lizorkin spaces and their analogues in Hellinger metric. These results can be used in constrained approximation using wavelets, with applications to probability density estimation in speech recognition, non-negative non-parametric regression-function estimation in positron-emission tomography (PET) imaging, shape/order-preserving and/or one-sided approximation and many others.

Place, publisher, year, edition, pages
Melville, NY: American Institute of Physics (AIP), 2009. 3-15 p.
Series
A I P Conference Proceedings Series, ISSN 0094-243X ; 1184:1
Keyword [en]
Mathematics
Keyword [sv]
Matematik
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-31336DOI: 10.1063/1.3271637Local ID: 57ce9530-ee59-11de-bae5-000ea68e967bISBN: 0-7354-0750-9 (print)OAI: oai:DiVA.org:ltu-31336DiVA: diva2:1004570
Conference
Applications of Mathematics in Engineering and Economics Conference : 07/06/2009 - 12/06/2009
Note
Validerad; 2009; 20091221 (grip)Available from: 2016-09-30 Created: 2016-09-30 Last updated: 2017-11-25Bibliographically approved

Open Access in DiVA

fulltext(522 kB)11 downloads
File information
File name FULLTEXT01.pdfFile size 522 kBChecksum SHA-512
09b88140c700561cf090a0300a5eb522b6901e17f0524130d14b764bf4f7700ea41656d5c69d3e50b4b834ac65614b2ec3bce35d4caa4827887abdfc7dc866b6
Type fulltextMimetype application/pdf
fulltext(1318 kB)6 downloads
File information
File name FULLTEXT02.pdfFile size 1318 kBChecksum SHA-512
221dedd026696011de98c89c9bd80f23e7d122812aaad421444fc0cf52d5a9fe3aa99216910e8e91230566879175d7c586cf51f53823702a18b5e8b4e9195fd5
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Grip, Niklas
By organisation
Mathematical Science
Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar
Total: 17 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
isbn
urn-nbn

Altmetric score

doi
isbn
urn-nbn
Total: 30 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