Change search
ReferencesLink to record
Permanent link

Direct link
Weighted integral inequalities with the geometric mean operator
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Computing Centre, Russian Academy of Sciences, Far-Eastern Branch, Khabarovsk.
2002 (English)In: Journal of inequalities and applications (Print), ISSN 1025-5834, E-ISSN 1029-242X, Vol. 7, no 5, 727-746 p.Article in journal (Refereed) Published
Abstract [en]

The geometric mean operator is defined by Gf(x) = exp(1/x∫0x logf(t)dt). A precise two-sided estimate of the norm ||G|| = supf≠0 ||Gf||Luq/||f||Lvq for 0 < p, q ≤ ∞ is given and some applications and extensions are pointed out

Place, publisher, year, edition, pages
2002. Vol. 7, no 5, 727-746 p.
Research subject
URN: urn:nbn:se:ltu:diva-16107DOI: 10.1155/S1025583402000371Local ID: faf80690-aab6-11db-aeba-000ea68e967bOAI: diva2:989083
Validerad; 2002; 20061026 (evan)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

Open Access in DiVA

fulltext(784 kB)1 downloads
File information
File name FULLTEXT01.pdfFile size 784 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Persson, Lars-Erik
By organisation
Mathematical Science
In the same journal
Journal of inequalities and applications (Print)

Search outside of DiVA

GoogleGoogle Scholar
Total: 1 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

Altmetric score

Total: 1 hits
ReferencesLink to record
Permanent link

Direct link