A New Lower Bound in the Second Kershaw's Double Inequality

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Qi, Feng (2007) A New Lower Bound in the Second Kershaw's Double Inequality. Research report collection, 10 (1).

Abstract

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.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17522
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Kershaw's double inequality, logarithmically completely monotonic function, gamma function, psi function, lower bound, inequality, comparison, logarithmic mean
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