{ "id": "1608.01882", "version": "v1", "published": "2016-08-05T13:34:53.000Z", "updated": "2016-08-05T13:34:53.000Z", "title": "A sharp bound for the Chebyshev functional", "authors": [ "Mohammad W. Alomari" ], "comment": "4 pages", "categories": [ "math.CA" ], "abstract": "In this work a sharp bound of the \\v{C}eby\\v{s}ev functional for absolutely continuous functions $f,g$ whose derivatives $f'\\in L_{\\infty}[a,b]$ and $g'\\in L_{1}[a,b]$ is obtained.", "revisions": [ { "version": "v1", "updated": "2016-08-05T13:34:53.000Z" } ], "analyses": { "subjects": [ "26D10", "26D15" ], "keywords": [ "sharp bound", "chebyshev functional", "absolutely continuous functions" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }