JIPAM

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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