论文信息 - Bounds for modified Bessel functions

Bounds for modified Bessel functions

Abstract In this paper we derive inequalities for the modified Bessel functions I v ( t ) and K v ( t ). In some cases our results are completely new; in other cases we improve or extend known results. Similar inequalities are proved for the function w v = tI v ( t )/ I v +1 ( t ) which is useful in some problems of finite elasticity.

Andrea Laforgia

[1] Alan L. Jones. An Extension of an Inequality Involving Modified Bessel Functions , 1968 .

[2] R. B. Paris. An Inequality for the Bessel Function $J_\nu (\nu x)$ , 1984 .

[3] Andrea Laforgia,et al. Inequalities for Bessel functions , 1986 .

[4] R. P. Soni. On an Inequality for Modified Bessel Functions , 1965 .

[5] H. Simpson,et al. Some monotonicity results for ratios of modified Bessel functions , 1984 .

[6] I. Nåsell,et al. Inequalities for modified Bessel functions , 1974 .

[7] E. K. Ifantis,et al. Bounds for modified bessel functions , 1991 .