Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2016; 31(2): 355-363

Printed April 30, 2016

https://doi.org/10.4134/CKMS.2016.31.2.355

Copyright © The Korean Mathematical Society.

Some inequalities and absolute monotonicity for modified Bessel functions of the first kind

Bai-Ni Guo and Feng Qi

Henan Polytechnic University, Tianjin Polytechnic University

Abstract

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By employing a refined version of the P\'olya type integral inequality and other techniques, the authors establish some inequalities and absolute monotonicity for modified Bessel functions of the first kind with nonnegative integer order.

Keywords: inequality, absolute monotonicity, complete monotonic function, modified Bessel function of the first kind, P\'olya type integral inequality

MSC numbers: Primary 33C10; Secondary 26A48, 26D15, 44A10

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