{ "id": "math/0304345", "version": "v1", "published": "2003-04-22T23:54:38.000Z", "updated": "2003-04-22T23:54:38.000Z", "title": "A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications", "authors": [ "Sever Silvestru Dragomir" ], "categories": [ "math.CA" ], "abstract": "In 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.", "revisions": [ { "version": "v1", "updated": "2003-04-22T23:54:38.000Z" } ], "analyses": { "subjects": [ "26D15", "94A05" ], "keywords": [ "applications", "counterpart well-known analytic inequalities", "renyis entropy mappings", "celebrated jensen inequality", "converse result" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math......4345S" } } }