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

✍ Scribed by Feng Qi

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
152 KB
Volume
214
Category
Article
ISSN
0377-0427

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

A new upper bound in the second Kershaw'
A new upper bound in the second Kershaw's double inequality and its generalizations
✍ Feng Qi; Senlin Guo; Shou-Xin Chen πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 362 KB

In the paper, a new upper bound in the second Kershaw's double inequality involving ratio of gamma functions is established, and, as generalizations of the second Kershaw's double inequality, the divided differences of the psi and polygamma functions are bounded.