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Some sharp inequalities for multidimensional integral operators with homogeneous kernel: an overview and new results
| dc.contributor.author | Lukkassen, D. | |
| dc.contributor.author | Persson, L. E. | |
| dc.contributor.author | Samko, Stefan | |
| dc.contributor.author | Wall, P. | |
| dc.date.accessioned | 2017-04-07T15:56:51Z | |
| dc.date.available | 2017-04-07T15:56:51Z | |
| dc.date.issued | 2016-04 | |
| dc.description.abstract | One goal of this paper is to point out the fact that a big number of inequalities proved from time to time in journal publications, both one-dimensional and multi-dimensional, are particular cases of some general results for integral operators with homogeneous kernels, including in particular, the statements on sharp constants.Some new multidimensional Hardy-Hilbert type inequalities are derived. Moreover, a new multidimensional Polya-Knopp inequality is proved and some examples of applications are derived from this result. The constants in all inequalities are sharp. | |
| dc.identifier.doi | 10.7153/mia-19-41 | |
| dc.identifier.issn | 1331-4343 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/9544 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Element | |
| dc.relation.isbasedon | WOS:000374170300010 | |
| dc.subject | Multidimensional inequalities | |
| dc.subject | Hardy-Hilbert type inequalities | |
| dc.subject | P ´olya-Knopp type inequalities | |
| dc.subject | Sharp constants | |
| dc.title | Some sharp inequalities for multidimensional integral operators with homogeneous kernel: an overview and new results | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 564 | |
| oaire.citation.issue | 2 | |
| oaire.citation.startPage | 551 | |
| oaire.citation.title | Mathematical Inequalities and Applications | |
| oaire.citation.volume | 19 | |
| person.familyName | Samko | |
| person.givenName | Stefan | |
| person.identifier.orcid | 0000-0002-8022-2863 | |
| person.identifier.rid | M-3726-2013 | |
| person.identifier.scopus-author-id | 6603416048 | |
| rcaap.rights | restrictedAccess | |
| rcaap.type | article | |
| relation.isAuthorOfPublication | 7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4 | |
| relation.isAuthorOfPublication.latestForDiscovery | 7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4 |
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