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Duke University Press, Banach Journal of Mathematical Analysis, 1(6), p. 35-44

DOI: 10.15352/bjma/1337014663

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Complete monotonicity of a function involving the ratio of gamma functions and applications

Journal article published in 2012 by Feng Qi ORCID, Chun-Fu Wei, Bai-Ni Guo ORCID
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This paper is available in a repository.

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Abstract

In the paper, necessary and sufficient conditions are presented for a function involving a ratio of gamma functions to be logarithmically completely monotonic. This extends and generalizes the main result of B.-N. Guo and F. Qi [Taiwanese J. Math. 7, No. 2, 239–247 (2003; 1050.26012)] and others. As applications, several inequalities involving the volume of the unit ball in ℝ n are derived, which refine, generalize and extend some known inequalities.