A class of logarithmically completely monotonic functions and the best bounds in the second Kershaw's double inequality
β Scribed by Feng Qi; Bai-Ni Guo
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 249 KB
- Volume
- 212
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
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
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.