{ "id": "2003.10832", "version": "v1", "published": "2020-03-24T13:35:46.000Z", "updated": "2020-03-24T13:35:46.000Z", "title": "Redheffer-type inequalities for generalized trigonometric functions", "authors": [ "Shimpei Ozawa", "Shingo Takeuchi" ], "comment": "9 pages, 1 figure", "categories": [ "math.CA" ], "abstract": "Famous Redheffer's inequality is generalized to a class of anti-periodic functions. We apply the novel inequality to the generalized trigonometric functions and establish several Redheffer-type inequalities for these functions.", "revisions": [ { "version": "v1", "updated": "2020-03-24T13:35:46.000Z" } ], "analyses": { "keywords": [ "generalized trigonometric functions", "redheffer-type inequalities", "novel inequality", "anti-periodic functions" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }