Abstract
Let Ipx 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 cosht and (sinht)/t for the function I0x are obtained. The corresponding inequalities for the Toader-Qi mean do not match those in the existing literature.
Funder
The Natural Science Foundation of China
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference21 articles.
1. A Treatise on the Theory of Bessel Functions;Watson,1962
2. Some inequalities involving generalized Bessel functions
3. Jordan-type inequalities for generalized Bessel functions;Baricz;J. Inequal. Pure Appl. Math.,2008
Cited by
2 articles.
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