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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:214

Article

Qi, Feng^1,2 

[1] Henan Univ, Coll Math & Informat Sci, Kaifeng City 475001, Henan Province, Peoples R China

[2] Henan Polytech Univ, Res Inst Math Inequal Theory, Jiaozuo City 454010, Henan Province, Peoples R China

关键词: Kershaw's double inequality;    logarithmically completely monotonic function;    gamma function;    psi function;    lower bound;    inequality;    comparison;    logarithmic mean;   

DOI  :  10.1016/j.cam.2007.03.016

来源: Elsevier

【 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. (c) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free