Convexity and concavity of the complete elliptic integrals with respect to Lehmer mean

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Abstract

In this paper, the authors present necessary and sufficient conditions for the complete elliptic integrals of the first and second kind to be convex or concave with respect to the Lehmer mean.

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Chu, Y. M., & Zhao, T. H. (2015). Convexity and concavity of the complete elliptic integrals with respect to Lehmer mean. Journal of Inequalities and Applications, 2015(1), 1–6. https://doi.org/10.1186/s13660-015-0926-7

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