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The .rho.-quasiconcave Functions and Weighted Inequalities

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    0319789 - MÚ 2009 RIV CH eng C - Conference Paper (international conference)
    Evans, W. D. - Gogatishvili, Amiran - Opic, Bohumír
    The .rho.-quasiconcave Functions and Weighted Inequalities.
    [.rho.-kvazikonkávní funkce a váhové nerovnosti.]
    Inequalities and Applications. Basel: Birkhäuser, 2008 - (Hoffmann, K.; Mittelmann, H.), s. 121-132. International Series of Numerical Mathematics, 157. ISBN 978-3-7643-8772-3.
    [Conference on Inequalities and Applications. De la Motte Kastely Noszvaj (HU), 09.09.2007-15.09.2007]
    R&D Projects: GA ČR GA201/05/2033
    Institutional research plan: CEZ:AV0Z10190503
    Keywords : .rho.-quasiconcave function * representation of .rho.-quasiconcave functions * weighted Lebesque space
    Subject RIV: BA - General Mathematics

    We present some facts from a general theory of .rho.-quasiconcave functions defined on the interval I = (a,b).. R and show how to use them to characterize the validity of weighted inequalities involving .rho.-quasiconcave operators.

    Uvádíme některá fakta z obecné teorie .rho.-kvazikonkávních funkcí definovaných na intervalu I = (a,b) .. R a ukazujeme jejich použití k charakterizaci platnosti váhových nerovností obsahujících .rho.-kvazikonkávní operátory.
    Permanent Link: http://hdl.handle.net/11104/0168850

     
     
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