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  Volume 5, Issue 4, Article 93
Some Considerations on the Monotonicity Property of Power Means

    Authors: Ioan Gavrea,  
    Keywords: Jensen's inequality, Monotonicity, Power means  
    Date Received: 15/09/04  
    Date Accepted: 13/10/04  
    Subject Codes:


    Editors: Alexandru Lupas (1942-2007),  

If $ A$ is an isotonic linear functional and $ f:[a,b]to (0,infty) $ is a monotone function then $ Q(r,f)=(f^r(a)+f^r(b)-A(f^r))^{1/r}$ is increasing in $ r$.

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