Change search
ReferencesLink to record
Permanent link

Direct link
On Carleman's and Knopp's inequalities
Department of Mathematics, Uppsala University.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Department of Mathematics and Statistics, University College of Gävle.
2002 (English)In: Journal of Approximation Theory, ISSN 0021-9045, E-ISSN 1096-0430, Vol. 117, no 1, 140-151 p.Article in journal (Refereed) Published
Abstract [en]

A sharpened version of Carleman's inequality is proved. This result unifies and generalizes some recent results of this type. Also the “ordinary” sum that serves as the upper bound is replaced by the corresponding Cesaro sum. Moreover, a Carleman-type inequality with a more general measure is proved and this result may also be seen as a generalization of a continuous variant of Carleman's inequality, which is usually referred to as Knopp's inequality. A new elementary proof of (Carleman–)Knopp's inequality and a new inequality of Hardy–Knopp type is pointed out

Place, publisher, year, edition, pages
2002. Vol. 117, no 1, 140-151 p.
Research subject
URN: urn:nbn:se:ltu:diva-6074DOI: 10.1006/jath.2002.3684Local ID: 44660670-64ca-11db-8cbe-000ea68e967bOAI: diva2:978951
Validerad; 2002; 20061026 (evan)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

Open Access in DiVA

fulltext(202 kB)1 downloads
File information
File name FULLTEXT01.pdfFile size 202 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 Approximation Theory

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