{ "id": "1705.02188", "version": "v1", "published": "2017-05-05T12:21:07.000Z", "updated": "2017-05-05T12:21:07.000Z", "title": "Estimates for Tsallis relative operator entropy", "authors": [ "Hamid Reza Moradi", "Shigeru Furuichi", "Nicuşor Minculete" ], "comment": "to appear in Math. Inequal. Appl", "categories": [ "math.FA" ], "abstract": "We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given. In addition, operator inequalities for normalized positive linear map with Tsallis relative operator entropy are given.", "revisions": [ { "version": "v1", "updated": "2017-05-05T12:21:07.000Z" } ], "analyses": { "keywords": [ "tsallis relative operator entropy", "tight bounds", "normalized positive linear map", "hermite-hadamards inequality", "operator inequalities" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }