JIPAM

Improvements of Euler-Trapezoidal Type Inequalities with Higher-Order Convexity and Applications  
 
  Authors: Dah-Yan Hwang,  
  Keywords: Hadamard inequality, Euler formula, Convex functions, Integral inequalities, Numerical integration.  
  Date Received: 28/05/03  
  Date Accepted: 12/04/04  
  Subject Codes:

26D15, 26D20.

 
  Editors: Charles E. M. Pearce,  
 
  Abstract:

We improve a bounds relating to Euler's formula for the case of a function with higher-order convexity properties. These are used to improve estimates of the error involved in the use of the trapezoidal formula for integrating such a function.;



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