Journal of Inequalities and Applications 
Volume 5 (2000), Issue 1, Pages 91-96
doi:10.1155/S1025583400000060

A reversed Poincaré inequality for monotone functions

Rafael D. Benguria and M. Cristina Depassier

 Departamento de Física, P. Universidad Católica de Chile, Casilla 306, Santiago 22, Chile
Received 16 April 1999; Revised 2 July 1999

Abstract

We derive a family of sharp reversed Poincaré inequalities for positive monotone functions defined on a finite interval of the real line.