Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 61980, 16 pages
doi:10.1155/JIA/2006/61980
Global behavior of integral transforms
Mathematics Department, Louisiana State University, Baton Rouge 70803, LA, USA
Received 23 August 2005; Revised 13 December 2005; Accepted 29 December 2005
Copyright © 2006 Jasson Vindas and Ricardo Estrada. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We obtain global estimates for various integral transforms of positive differentiable functions that satisfy inequalities of the type c1f(x)/x≤−f'(x)≤c2f(x)/x, for x>0.