{ "id": "2303.16471", "version": "v1", "published": "2023-03-29T05:58:07.000Z", "updated": "2023-03-29T05:58:07.000Z", "title": "Ulyanov inequalities for the mixed moduli of smoothness in mixed metrics", "authors": [ "B. V. Simonov", "A. A. Jumabayeva" ], "comment": "17 pages", "categories": [ "math.FA" ], "abstract": "In this paper we prove Ulyanov-type inequalities between mixed moduli of smoothness of positive orders in different metrics.", "revisions": [ { "version": "v1", "updated": "2023-03-29T05:58:07.000Z" } ], "analyses": { "subjects": [ "41A17", "41A63", "26D10", "26A33" ], "keywords": [ "mixed moduli", "ulyanov inequalities", "mixed metrics" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }