Article ID Journal Published Year Pages File Type
4624304 Journal of Mathematical Analysis and Applications 2006 7 Pages PDF
Abstract

In this paper, the logarithmically complete monotonicity of the function exΓ(x+β)/xx+β−α in (0,∞) for α∈R and β⩾0 is considered and the corresponding result by G.D. Anderson, R.W. Barnard, K.C. Richards, M.K. Vamanamurthy and M. Vuorinen is generalized. As applications of these results, some inequalities between identric mean and ratio of two gamma functions by J.D. Kečkić and P.M. Vasić are extended.

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Physical Sciences and Engineering Mathematics Analysis