{ "id": "1501.01462", "version": "v1", "published": "2015-01-07T12:18:43.000Z", "updated": "2015-01-07T12:18:43.000Z", "title": "Asymptotic series and inequalities associated to some expressions involving the volume of the unit ball", "authors": [ "Cristinel Mortici" ], "comment": "9 pages", "categories": [ "math.CA" ], "abstract": "The aim of this work is to expose some asymptotic series associated to some expressions involving the volume of the n-dimensional unit ball. All proofs and the methods used for improving the classical inequalities announced in the final part of the first section are presented in an extended form in a paper submitted by the author to a journal for publication.", "revisions": [ { "version": "v1", "updated": "2015-01-07T12:18:43.000Z" } ], "analyses": { "subjects": [ "34E05", "41A60", "33B15", "26D15" ], "keywords": [ "inequalities", "expressions", "n-dimensional unit ball", "final part", "first section" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }