Journal of Inequalities and Applications 
Volume 1 (1997), Issue 4, Pages 311-325
doi:10.1155/S1025583497000210

Some counterpart inequalities for a functional associated with Jensen’s inequality

S. S. Dragomir1 and C. J. Goh2

 1Department of Mathematics, University of Transkei, Private Bag Xl, Unitra, Umtata 5100, South Africa
2Department of Mathematics, University of Western Australia Nedlands, WA, 6907, Australia
Received 1 November 1996

Abstract

We derive several inequalities for a functional connected with the well-known Jensen inequality on ℝn. Some applications for arithmetic and geometric means, and for the entropy mapping in information theory are also discussed.