2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67206In this paper we point out a converse result of the celebrated Jensen inequality for differentiable convex mappings of several variables and apply it to counterpart well-known analytic inequalities. Applications to Shannon's and Renyi's entropy mappings are also given.Classical Analysis and ODEs26D15, 94A05text