Inequalities for the modified Bessel function of the second kind and the kernel of the Krätzel integral transformation

Abstract

We obtain new inequalities for the modified Bessel function of the second kind $K_{\nu }$ in terms of the gamma function. These bounds follow as special cases of inequalities that we derive for the kernel of the Krätzel integral transformation.

4 pages, to appear in Mathematical Inequalities and Applications, 2017+