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Some New Refined Ha...
Some New Refined Hardy Type Inequalities with Breaking Points p = 2 or p = 3
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- Abramovich, Shosana (författare)
- Department of Mathematics, University of Haifa
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- Persson, Lars-Erik (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
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(creator_code:org_t)
- 2013-10-11
- 2014
- Engelska.
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Ingår i: Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation. - Basel : Encyclopedia of Global Archaeology/Springer Verlag. - 9783034806473 - 9783034806480 ; , s. 1-10
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- For usual Hardy type inequalities the natural “breaking point” (the parameter value where the inequality reverses) is p = 1. Recently, J. Oguntuase and L.-E. Persson proved a refined Hardy type inequality with breaking point at p = 2. In this paper we show that this refinement is not unique and can be replaced by another refined Hardy type inequality with breaking point at p = 2. Moreover, a new refined Hardy type inequality with breaking point at p = 3 is obtained. One key idea is to prove some new Jensen type inequalities related to convex or superquadratic funcions, which are also of independent interest
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Matematik
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- kon (ämneskategori)
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