{ "id": "1009.3439", "version": "v1", "published": "2010-09-17T14:48:19.000Z", "updated": "2010-09-17T14:48:19.000Z", "title": "q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers", "authors": [ "Taekyun Kim", "Younghee Kim", "Jongsoung Choi" ], "comment": "9 pages", "categories": [ "math.NT" ], "abstract": "Recently, Kim proposed interesting q-extension of Bernstein polynomials and positive linear operators on C[0,1] which are different Phillips' q-Bernstein polynomials. From Kim's q-Bernstein polynomials, we investigate some interesting properties of q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers", "revisions": [ { "version": "v1", "updated": "2010-09-17T14:48:19.000Z" } ], "analyses": { "subjects": [ "11B68", "11S80" ], "keywords": [ "carlitzs q-bernoulli numbers", "q-stirling numbers", "kims q-bernstein polynomials", "positive linear operators" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1009.3439K" } } }