Some new inequalities which counterpart Jensen's discrete inequality and
improve the recent results from  and  are given. A related result for generalized means is established. Applications in Information Theory are also provided.
 S.S. DRAGOMIR, A converse result for Jensen's discrete
inequality via Grüss' inequality and applications in information theory
 S.S. DRAGOMIR, A converse of the Jensen inequality for convex
mappings of several variables and applications