Inequalities and completely monotonic functions associated with the ratios of functions resulting from the gamma function

Chao-Ping Chen

Applied Mathematics and Computation, 2015, vol. 259, issue C, 790-799

Abstract: We prove that some functions associated with the products ∏k=1n2k-12k, ∏k=1n3k-23k-1,∏k=1n3k-23k and ∏k=1n3k-13k are completely monotonic. By using the results obtained, we derive some inequalities for the previous products. Our results improve some known inequalities.

Keywords: Gamma function; Completely monotonic functions; Asymptotic expansion; Inequality (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:790-799

DOI: 10.1016/j.amc.2015.03.020

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