New Bounds for the Modified Bessel Function of the First Kind and Toader-Qi Mean

Ling Zhu
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Ling Zhu: Department of Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China

Mathematics, 2021, vol. 9, issue 22, 1-13

Abstract: Let I p x be the modified Bessel function of the first kind of order p . The upper and lower bounds in the form of simple rational functions about cosh t and ( sinh t ) / t for the function I 0 x are obtained. The corresponding inequalities for the Toader-Qi mean do not match those in the existing literature.

Keywords: bounds; modified Bessel function of the first kind; hyperbolic function; mean; inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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