{ "id": "0908.4578", "version": "v1", "published": "2009-08-31T16:50:56.000Z", "updated": "2009-08-31T16:50:56.000Z", "title": "On L-convergence of trigonometric series", "authors": [ "Bogdan Szal" ], "categories": [ "math.CA" ], "abstract": "In the present paper we consider the trigonometric series with (b,r)-general monotone and (b,r)-rest bounded variation coefficients. Necessary and sufficien conditions of L-convergence for such series are obtained in terms of the coefficients.", "revisions": [ { "version": "v1", "updated": "2009-08-31T16:50:56.000Z" } ], "analyses": { "subjects": [ "42A20", "42A32" ], "keywords": [ "trigonometric series", "l-convergence", "bounded variation coefficients", "sufficien conditions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0908.4578S" } } }