Inequalities between Arithmetic-Geometric, Gini, and Toader Means

By Y. Chu, Miao-Kun Wang. 2012

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We find the greatest values , and least values , such that the double inequalities and hold for all with and present some new bounds for the complete elliptic integrals. Here , , and are the arithmetic-geometric, Toader, and th Gini means of two positive numbers and , respectively.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d862751b276419c10571a833445062b780a57933