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 monotoni
✦ LIBER ✦
A new upper bound in the second Kershaw's double inequality and its generalizations
✍ Scribed by Feng Qi; Senlin Guo; Shou-Xin Chen
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 362 KB
- Volume
- 220
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
✦ Synopsis
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.
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