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Sharp Integral Inequalities for Products of Convex Functions  
 
  Authors: Villő Csiszár, Tamás F. Móri,  
  Keywords: Convexity, Chebyshev's integral inequality, Grüss inequality, Andersson inequality.  
  Date Received: 07/06/07  
  Date Accepted: 28/10/07  
  Subject Codes:

26D15.

 
  Editors: Ioan Gavrea,  
 
  Abstract:

In this note we present exact lower and upper bounds for the integral of a product of nonnegative convex resp. concave functions in terms of the product of individual integrals. They are found by adapting the convexity method to the case of product sets.;



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