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	 JIPAM 
    
         
         
          
          | Improvements of Euler-Trapezoidal Type Inequalities with Higher-Order Convexity and Applications | 
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          Authors:  | 
          Dah-Yan Hwang,  | 
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          Keywords: 
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          Hadamard inequality, Euler formula, Convex functions, Integral inequalities, Numerical integration. | 
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          Date Received: 
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          28/05/03 | 
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          Date Accepted: 
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          12/04/04 | 
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          Subject Codes: | 
           
             26D15, 26D20. 
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          Editors:  | 
          Charles E. M. Pearce,   | 
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          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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	http://jipam.vu.edu.au 
	The URL for this article is: 
	http://jipam.vu.edu.au/article.php?sid=412 
	
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