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  Volume 9, Issue 2, Article 60
 
A Stability Version of Hölder's Inequality for $0 < p < 1$
    Authors: J. M. Aldaz,  
    Keywords: Hölder's inequality, Reverse triangle inequality.  
    Date Received: 21/10/07  
    Date Accepted: 23/03/08  
    Subject Codes:

26D15

  
    Editors: Laszlo Losonczi,  
 
    Abstract:

We use a refinement of Hölder's inequality for $ 1 < p < infty$ to obtain the corresponding refinement when $ rin (0,1)$. This in turn allows us to sharpen the reverse triangle inequality on the nonnegative functions in $ L^r$, for $ rin (0,1)$.

         
       
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