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On a new class of H...
On a new class of Hardy-type inequalities
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- Adeleke, E.O. (författare)
- Department of Mathematics, University of Agriculture, Abeokuta, Ogun State P. M. B. 2240, Nigeria
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- Čižmešija, A. (författare)
- Department of Mathematics, University of Zagreb, Bijenička cesta 30, Zagreb, 10000, Croatia
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- Oguntuase, James A. (författare)
- Department of Mathematics, University of Agriculture, Abeokuta, Ogun State P. M. B. 2240, Nigeria
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- Persson, Lars-Erik (författare)
- Luleå tekniska universitet,Matematiska vetenskaper,Narvik University College, P.O. Box 385, Narvik, N-8505, Norway
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- Pokaz, D. (författare)
- Faculty of Civil Engineering, University of Zagreb, Kačićeva 26, Zagreb, 10000, Croatia
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Department of Mathematics, University of Agriculture, Abeokuta, Ogun State P M. B. 2240, Nigeria Department of Mathematics, University of Zagreb, Bijenička cesta 30, Zagreb, 10000, Croatia (creator_code:org_t)
- 2012
- 2012
- Engelska.
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Ingår i: Journal of inequalities and applications. - 1025-5834 .- 1029-242X. ; 2012:259
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- In this paper, we generalize a Hardy-type inequality to the class of arbitrary non-negative functions bounded from below and above with a convex function multiplied with positive real constants. This enables us to obtain new generalizations of the classical integral Hardy's, Hardy-Hilbert's, Hardy-Littlewood-P\'{o}lya's and P\'{o}lya-Knopp's inequalities as well as of Godunova's and of some recently obtained inequalities in multidimensional settings. Finally, we apply a similar idea to functions bounded from below and above with a superquadratic function.
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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