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

作者：Qi Feng^*

来源：Journal of Computational and Applied Mathematics, 2008, 214(2): 610-616.

DOI：10.1016/j.cam.2007.03.016

• Kershaw's double inequality
• logarithmically completely monotonic function
• gamma function
• psi function
• lower bound
• inequality
• comparison
• logarithmic mean

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.

• 出版日期2008-5-1
• 单位河南大学; 河南理工大学