Converse theorem for the Minkowski inequality |
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| Authors: | Janusz Matkowski |
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| Affiliation: | a Faculty of Mathematics, Computer Science and Econometry, University of Zielona Góra, Podgórna 50, PL-65246 Zielona Góra, Poland
b Institute of Mathematics, Silesian University, PL-40-007 Katowice, Poland |
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| Abstract: | Let (Ω,Σ,μ) a measure space such that 0<μ(A)<1<μ(B)<∞ for some A,B∈Σ. Under some natural conditions on the bijective functions φ,φ1,φ2,ψ,ψ1,ψ2:(0,∞)→(0,∞) we prove that if |
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| Keywords: | Minkowski inequality A converse theorem Measure space |
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