JIPAM

Note on Feng Qi's Integral Inequality  
 
  Authors: Josip E. Pecaric, T. Pejkovic,  
  Keywords: Integral inequality.  
  Date Received: 20/01/04  
  Date Accepted: 27/04/04  
  Subject Codes:

26D15

  
  Editors: Feng Qi,  
 
  Abstract:

We give a generalization of Feng Qi's result from [5] by showing that if a function $ finmathrm{C}^1([a,b])$ satisfies $ f(a)geq 0$ and $ % f^{prime}(x)geq n(x-a)^{n-1}$ for $ xin[a,b]$ and a positive integer $ n$ then $ {int_{a}^{b}{[f(x)]}^{n+2}d{x}}geq {left(int_{a}^{b}{f(x)}d{x}% right)}^{n+1}$ holds. This follows from our answer to Feng Qi's open problem. ;


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