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Bounds for Jaeger integrals

Lower and upper bounds are deduced for some Jaeger integrals which involve the Bessel functions of the first and second kind. The upper bounds contain some elementary functions as well as incomplete gamma functions, while the lower bounds are expressed also in terms of incomplete gamma functions and are deduced via some known inequalities for Bessel functions of the first and second kinds.

Jaeger function; non-homogeneous modified Bessel differential equation; lower incomplete Gamma function; upper incomplete Gamma function; Bessel functions of the first and second kind; modified Bessel function of the second kind.

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