The Optimal Convex Combination Bounds of Arithmetic and Harmonic Means for the Seiffert's Mean

By Y. Chu, Ye-Fang Qiu, Miao-Kun Wang, Gendi Wang. 2010

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We find the greatest value and least value such that the double inequality holds for all with . Here , , and denote the arithmetic, harmonic, and Seiffert's means of two positive numbers and , respectively.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/2115a2522595068da7f90e2de7f01e3a65e04272