{ "id": "1609.05585", "version": "v1", "published": "2016-09-19T02:56:10.000Z", "updated": "2016-09-19T02:56:10.000Z", "title": "A numerical point of view at the Gurov-Reshetnyak inequality on the real line", "authors": [ "Victor D. Didenko", "Anatolii A. Korenovskyi", "Nor Jaidi Tuah" ], "comment": "15 pages", "categories": [ "math.CA" ], "abstract": "A \"norm\" of power function in the Gurov-Reshetnyak class on the real line is computed. Moreover, a lower bound for the norm of the operator of even extension from the semi-axis to the whole real line in the Gurov-Reshetnyak class is obtained from numerical experiments.", "revisions": [ { "version": "v1", "updated": "2016-09-19T02:56:10.000Z" } ], "analyses": { "subjects": [ "26D10", "42B25" ], "keywords": [ "real line", "gurov-reshetnyak inequality", "numerical point", "gurov-reshetnyak class", "lower bound" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }