{ "id": "1207.5422", "version": "v1", "published": "2012-07-23T15:19:30.000Z", "updated": "2012-07-23T15:19:30.000Z", "title": "New estimates on generalization of some integral inequalities for (alpha,m)-convex functions", "authors": [ "Imdat Iscan" ], "comment": "10 pages", "categories": [ "math.CA" ], "abstract": "In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are ({\\alpha},m)-convex.", "revisions": [ { "version": "v1", "updated": "2012-07-23T15:19:30.000Z" } ], "analyses": { "subjects": [ "26A51", "26D15" ], "keywords": [ "integral inequalities", "generalization", "remainder term", "simpson formulae", "absolute value" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1207.5422I" } } }