Remarks on the paper: "Bounds for functions involving ratios of modified Bessel functions"
Classical Analysis and ODEs
2012-01-18 v2
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}.
Keywords
Cite
@article{arxiv.1111.1018,
title = {Remarks on the paper: "Bounds for functions involving ratios of modified Bessel functions"},
author = {Javier Segura},
journal= {arXiv preprint arXiv:1111.1018},
year = {2012}
}
Comments
A corrigendum by C. G. Kokologiannaki has already been published. See http://dx.doi.org/10.1016/j.jmaa.2011.11.020