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Some sharp inequali...
Some sharp inequalities for multidimensional integral operators with homogenous kernel : an overview and new results
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- Lukkassen, Dag (författare)
- Narvik University College and Norut Narvik
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- Persson, Lars-Erik (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
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- Samko, Natasha (författare)
- Universidade do Algarve, FCT, Campus de Gambelas, Instituto Superior Tecnico, Research center CEAF
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- Wall, Peter (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
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(creator_code:org_t)
- Element d.o.o. 2016
- 2016
- Engelska.
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 19:2, s. 551-564
- Relaterad länk:
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http://files.ele-mat...
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https://urn.kb.se/re...
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https://doi.org/10.7...
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Abstract
Ämnesord
Stäng
- One goal of this paper is to point out the fact that a big number of inequalities provedfrom time to time in journal publications, both one-dimensional and multi-dimensional, are particularcases of some general results for integral operators with homogeneous kernels, includingin particular, the statements on sharp constants.Some new multidimensional Hardy-Hilbert type inequalities are derived. Moreover, anew multidimensional P´olya-Knopp inequality is proved and some examples of applications arederived from this result. The constants in all inequalities are sharp.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Matematik
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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