JIPAM

Inequalities for 3-log-convex Functions  
 
  Authors: Donghui Chen, Kenneth S. Berenhaut,  
  Keywords: Inequalities, Logarithmic derivative, Convexity, Gamma function, Digamma function, Extended means.  
  Date Received: 07/12/07  
  Date Accepted: 13/08/08  
  Subject Codes:

33B15, 26A51, 26A48, 26D20.

 
  Editors: Sever S. Dragomir,  
 
  Abstract:

This note gives a simple method for obtaining inequalities for ratios involving 3-log-convex functions. As an example, an inequality for Wallis's ratio of Gautchi-Kershaw type is obtained. Inequalities for generalized means are also considered.;



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