{ "id": "2104.02350", "version": "v1", "published": "2021-04-06T08:21:19.000Z", "updated": "2021-04-06T08:21:19.000Z", "title": "On Reversing Operator Choi-Davis-Jensen inequality", "authors": [ "Seyyed Saeid Hashemi Karouei", "Mohammad Sadegh Asgari", "Mohsen Shah Hosseini" ], "comment": "11 pages", "categories": [ "math.FA" ], "abstract": "In this paper, we first provide a better estimate of the second inequality in Hermite-Hadamard inequality. Next, we study the reverse of the celebrated Davis-Choi-Jensen's inequality. Our results are employed to establish a new bound for the operator Kantorovich inequality.", "revisions": [ { "version": "v1", "updated": "2021-04-06T08:21:19.000Z" } ], "analyses": { "subjects": [ "47A12", "47A30", "26D15" ], "keywords": [ "reversing operator choi-davis-jensen inequality", "operator kantorovich inequality", "better estimate", "celebrated davis-choi-jensens inequality", "second inequality" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }