Robert E. Gaunt
Published 2017-01-11Version 1
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 Kr\"{a}tzel integral transformation.
Comments: 4 pages, to appear in Mathematical Inequalities and Applications, 2017+
Some new inequalities for the gamma function
Monotonicity, convexity, and inequalities for functions involving gamma function
Monotonicity properties related to the ratio of two gamma functions
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