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  Volume 5, Issue 2, Article 32
 
A Sufficient Condition for the Integral Version of Martins' Inequality
    Authors: Vania Mascioni,  
    Keywords: Martins' inequality  
    Date Received: 23/09/03  
    Date Accepted: 01/03/04  
    Subject Codes:

Primary: 26D10, Secondary: 26D15.

  
    Editors: Josip E. Pecaric,  
 
    Abstract:

We prove that if $ f$ is a nondecreasing, positive, twice differentiable function on $ mathbb{R}^+$ such that $ t(ln f(t))^{primeprime} + (ln f(t))^{prime}geq 0$ for all $ t>0$, then $ f$ satisfies the integral version of Martins' inequality.

         
       
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