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  Volume 7, Issue 2, Article 73
 
Convexity of Weighted Stolarsky Means

    Authors: Alfred Witkowski,  
    Keywords: Extended mean values, Mean, Convexity.  
    Date Received: 28/10/05  
    Date Accepted: 13/11/05  
    Subject Codes:

26D15.

 
    Editors: Peter S. Bullen,  
 
    Abstract:

We investigate monotonicity and logarithmic convexity properties of one-parameter family of means

begin{displaymath} F_h(r;a,b;x,y)=E(r,r+h;ax,by)/E(r,r+h;a,b) end{displaymath}

where $E$ is the Stolarsky mean. Some inequalities between classic means are obtained.

         
       
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