{ "id": "1603.08055", "version": "v1", "published": "2016-03-25T23:14:08.000Z", "updated": "2016-03-25T23:14:08.000Z", "title": "An Inequality of Simpson's type Via Quasi-Convex Mappings with Applications", "authors": [ "Mohammad W. Alomari" ], "comment": "7 pages, no figure", "categories": [ "math.CA" ], "abstract": "In this paper, an inequality of Simpson type for quasi-convex mappings are proved. The constant in the classical Simpson's inequality is improved. Furthermore, the obtained bounds can be (much) better than some recently obtained bounds. Application to Simpson's quadrature rule is also given.", "revisions": [ { "version": "v1", "updated": "2016-03-25T23:14:08.000Z" } ], "analyses": { "subjects": [ "26D15", "26D10" ], "keywords": [ "quasi-convex mappings", "simpsons type", "application", "simpsons quadrature rule", "simpson type" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160308055A" } } }