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Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 61980, 16 pages
doi:10.1155/JIA/2006/61980

Global behavior of integral transforms

Jasson Vindas and Ricardo Estrada

Mathematics Department, Louisiana State University, Baton Rouge 70803, LA, USA

Received 23 August 2005; Revised 13 December 2005; Accepted 29 December 2005

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.