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A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions  
 
  Authors: Shoshana Abramovich, J. Baric, Josip E. Pecaric,  
  Keywords: Isotonic linear functionals, Jessen's inequality, Superquadratic functions, Functional quasi-arithmetic and power means of Mercer's type.  
  Date Received: 16/12/07  
  Date Accepted: 03/04/08  
  Subject Codes:

26D15, 39B62.

 
  Editors: Ioan Gavrea,  
 
  Abstract:

A variant of Jessen's inequality for superquadratic functions is proved. This is a refinement of a variant of Jessen's inequality of Mercer's type for convex functions. The result is used to refine some comparison inequalities of Mercer's type between functional power means and between functional quasi-arithmetic means.;



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