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An Inequality Improving the First Hermite-Hadamard Inequality for Convex Functions Defined on Linear Spaces and Applications for Semi-Inner Products  
 
  Authors: Sever S. Dragomir,  
  Keywords: Hermite-Hadamard integral inequality, Convex functions, Semi-Inner Products.  
  Date Received: 16/11/01  
  Date Accepted: 15/02/02  
  Subject Codes:

26D15,26D10,46B10

 
  Editors: Constantin P. Niculescu,  
 
  Abstract:

An integral inequality for convex functions defined on linear spaces is obtained which contains in a particular case a refinement for the first part of the celebrated Hermite-Hadamard inequality. Applications for semi-inner products on normed linear spaces are also provided.;



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