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

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  • Chen, Chao-Ping

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.

Suggested Citation

  • Chen, Chao-Ping, 2015. "Inequalities and completely monotonic functions associated with the ratios of functions resulting from the gamma function," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 790-799.
    • Handle: RePEc:eee:apmaco:v:259:y:2015:i:c:p:790-799
    DOI: 10.1016/j.amc.2015.03.020
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    References listed on IDEAS

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    1. Chen, Chao-Ping & Paris, Richard B., 2015. "Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 514-529.
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