Journal of Inequalities and Applications 
Volume 7 (2002), Issue 5, Pages 663-672
doi:10.1155/S1025583402000346

A Landau–Kolmogorov inequality for Orlicz spaces

Ha Huy Bang and Mai Thi Thu

Institute of Mathematics, National Center for Sciences and Technologies, P.O. Box 631, Bo Ho, Hanoi 10000, Vietnam

Received 12 December 2000; Revised 27 February 2001

Abstract

In this paper we prove that the Landau–Kolmogorov inequality for functions on the half line holds for any Orlicz space with the constants, which are best possible for L-space.