{ "id": "1111.1018", "version": "v2", "published": "2011-11-04T00:15:50.000Z", "updated": "2012-01-17T09:04:46.000Z", "title": "Remarks on the paper: \"Bounds for functions involving ratios of modified Bessel functions\"", "authors": [ "Javier Segura" ], "comment": "A corrigendum by C. G. Kokologiannaki has already been published. See http://dx.doi.org/10.1016/j.jmaa.2011.11.020", "categories": [ "math.CA" ], "abstract": "A recent paper by C.G. Kokologiannaki published in J. Math. Anal. Appl. \\cite{Kolo:2012:BFI} gives some properties for ratios of modified Bessel functions and, in particular, some bounds. These bounds are said to improve the range of some inequalities in \\cite{Segura:2011:BRM} or to be sharper. Unfortunately, Kokologiannaki made some mistakes in the comparison and no improvement or extension is made over the results in \\cite{Segura:2011:BRM}. We explain the errors in these comments and show that the bounds given in \\cite{Kolo:2012:BFI} are already contained in \\cite{Segura:2011:BRM}.", "revisions": [ { "version": "v2", "updated": "2012-01-17T09:04:46.000Z" } ], "analyses": { "subjects": [ "33C10" ], "keywords": [ "modified bessel functions", "kokologiannaki", "properties", "inequalities", "comparison" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1111.1018S" } } }