A new lower bound in the second Kershaw's double inequality

作者：

Highlights：

•

摘要

In the paper, a new and elegant lower bound in the second Kershaw's double inequality is established, some alternative simple and polished proofs are given, several deduced functions involving the gamma and psi functions are proved to be decreasingly monotonic and logarithmically completely monotonic, and some remarks and comparisons are stated.

论文关键词：26A48,26A51,26D20,33B10,33B15,65R10,Kershaw's double inequality,Logarithmically completely monotonic function,Gamma function,Psi function,Lower bound,Inequality,Comparison,Logarithmic mean

论文评审过程：Received 3 January 2007, Available online 24 March 2007.

论文官网地址：https://doi.org/10.1016/j.cam.2007.03.016