Discrete monotonicity of means and its applications

Nishimura, Ryo

doi:10.1090/proc/13897

Discrete monotonicity of means and its applications
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Proc. Amer. Math. Soc. 146 (2018), 2091-2102 Request permission

Abstract:

In this paper, we obtain new inequalities for the logarithmic mean and the complete elliptic integral of the first kind. In order to prove the inequalities, we use the monotonicity property of sequences defined by these functions. Additionally, we apply our approach to previous studies. As a result, we get refinements of known inequalities.

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