{ "id": "1803.03109", "version": "v1", "published": "2018-02-25T09:03:01.000Z", "updated": "2018-02-25T09:03:01.000Z", "title": "On King type modification of $(p,q)$-Lupaş Bernstein operators", "authors": [ "Asif Khan", "Vinita Sharma", "Faisal Khan" ], "comment": "8 pages", "categories": [ "math.CA" ], "abstract": "In this paper, a King-type modification of $(p,q)$-Lupa\\c{s} Bernstein operators are introduced. The rate of convergence of these operators are studied by means of modulus of continuity and Lipschitz class functional. Further, it has been shown that the error estimation of these operators on some subintervals of $[0,1]$ are better than the $(p,q)$-Lupa\\c{s} Bernstein operators.", "revisions": [ { "version": "v1", "updated": "2018-02-25T09:03:01.000Z" } ], "analyses": { "keywords": [ "bernstein operators", "king type modification", "lipschitz class functional", "king-type modification", "error estimation" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }