Remarks on the paper: "Bounds for functions involving ratios of modified Bessel functions"
Abstract
A recent paper by C.G. Kokologiannaki published in J. Math. Anal. Appl. 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 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 Segura:2011:BRM. We explain the errors in these comments and show that the bounds given in Kolo:2012:BFI are already contained in Segura:2011:BRM.
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