{ "id": "math/0611366", "version": "v1", "published": "2006-11-13T06:31:12.000Z", "updated": "2006-11-13T06:31:12.000Z", "title": "Some Remarks on the Best Approximation Rate of Certain Trigonometric Series", "authors": [ "Song-Ping Zhou", "Rui-Jun Le" ], "comment": "14 pages", "journal": "Acta Math. Sinica 49(2006), 509-518. In Chinese", "categories": [ "math.CA" ], "abstract": "The main object of the present paper is to give a complete result regarding the best approximation rate of certain trigonometric series in general complex valued continuous function space under a new condition which gives an essential generalization to $O$-regularly varying quasimonotonicity. An application is present in Section 3.", "revisions": [ { "version": "v1", "updated": "2006-11-13T06:31:12.000Z" } ], "analyses": { "subjects": [ "42A20", "42A32" ], "keywords": [ "best approximation rate", "trigonometric series", "general complex valued continuous function", "complex valued continuous function space", "complete result" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....11366Z" } } }