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Zbl 1142.26020
Qi, Feng
A new lower bound in the second Kershaw's double inequality. (English)
[J] J. Comput. Appl. Math. 214, No. 2, 610-616 (2008). ISSN 0377-0427

Summary: 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.
MSC 2000:
*26D20 Analytical inequalities involving real functions
33B10 Elementary functions
33B15 Gamma-functions, etc.

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

Cited in: Zbl 1241.33002

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