{ "id": "math/0610736", "version": "v1", "published": "2006-10-24T20:40:07.000Z", "updated": "2006-10-24T20:40:07.000Z", "title": "Some Refinements of Discrete Jensen's Inequality and Some of Its Applications", "authors": [ "Jamal Rooin" ], "comment": "10 Pages, submitted to Nonlinear Functional Analysis and Applications(NFAA)", "categories": [ "math.NA" ], "abstract": "In this paper, using some aspects of convex functions, we refine discrete Jensen's inequality via weight functions. Then, using these results, we give some applications in different abstract spaces and obtain some new interesting inequalities.", "revisions": [ { "version": "v1", "updated": "2006-10-24T20:40:07.000Z" } ], "analyses": { "subjects": [ "26D15", "39B62" ], "keywords": [ "applications", "refinements", "refine discrete jensens inequality", "convex functions", "abstract spaces" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....10736R" } } }