{ "id": "1605.08358", "version": "v1", "published": "2016-05-26T16:41:01.000Z", "updated": "2016-05-26T16:41:01.000Z", "title": "On $M$ -- terms approximations Besov classes in Lorentz spaces", "authors": [ "G. Akishev" ], "comment": "17 pages", "categories": [ "math.CA" ], "abstract": "In this paper we consider Lorentz space with a mixed norm of periodic functions of many variables. We obtain the exact estimation of the best M-term approximations of Nikol'ski's, Besov's classes in the Lorentz space with the mixed norm.", "revisions": [ { "version": "v1", "updated": "2016-05-26T16:41:01.000Z" } ], "analyses": { "subjects": [ "41A10", "41A25" ], "keywords": [ "terms approximations besov classes", "lorentz space", "mixed norm", "best m-term approximations", "besovs classes" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }