{ "id": "1611.08676", "version": "v1", "published": "2016-11-26T08:00:03.000Z", "updated": "2016-11-26T08:00:03.000Z", "title": "Integrated and Differentiated Sequence Spaces and Weighted Mean", "authors": [ "Murat Kirisci" ], "comment": "15 pages, 6 tables. arXiv admin note: text overlap with arXiv:1611.06138", "categories": [ "math.FA" ], "abstract": "The purpose of this paper is twofold. Firstly, the new matrix domains are constructed with the new infinite matrices and some properties are investigated. Furthermore, dual spaces of new matrix domains are computed and matrix transformations are characterized. Secondly, examples between new spaces with classical sequence spaces and sequence spaces which are derived by an infinite matrix are given in the table form.", "revisions": [ { "version": "v1", "updated": "2016-11-26T08:00:03.000Z" } ], "analyses": { "subjects": [ "46A45", "46B45", "46A35" ], "keywords": [ "differentiated sequence spaces", "weighted mean", "infinite matrix", "matrix domains", "classical sequence spaces" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }