{ "id": "1509.02569", "version": "v1", "published": "2015-09-08T22:03:23.000Z", "updated": "2015-09-08T22:03:23.000Z", "title": "Refinement of the right-hand side of Hermite-Hadamard inequality for simplices", "authors": [ "Monika Nowicka", "Alfred Witkowski" ], "categories": [ "math.CA" ], "abstract": "We establish a new refinement of the right-hand side of the Hermite-Hadamard inequality for simplices, based on the average values of a convex function over the faces of a simplex and over the values at their barycenters.", "revisions": [ { "version": "v1", "updated": "2015-09-08T22:03:23.000Z" } ], "analyses": { "subjects": [ "26D15" ], "keywords": [ "hermite-hadamard inequality", "right-hand side", "refinement", "average values" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150902569N" } } }