{ "id": "2311.09021", "version": "v1", "published": "2023-11-15T15:08:50.000Z", "updated": "2023-11-15T15:08:50.000Z", "title": "Approximation of polynomials from Walsh tail spaces", "authors": [ "Alexandros Eskenazis", "Haonan Zhang" ], "categories": [ "math.CA", "math.FA" ], "abstract": "We derive various bounds for the $L_p$ distance of polynomials on the hypercube from Walsh tail spaces, extending some of Oleszkiewicz's results (2017) for Rademacher sums.", "revisions": [ { "version": "v1", "updated": "2023-11-15T15:08:50.000Z" } ], "analyses": { "keywords": [ "walsh tail spaces", "polynomials", "approximation", "oleszkiewiczs results" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }