Schur convexity properties for the elliptic neuman mean with applications. (English) Zbl 1307.26017
Summary: Strictly Schur convexity, Schur multiplicative convexity and Schur harmonic convexity are investigated for the elliptic Neuman mean. As applications, several sharp bounds for the arithmetic, geometric and harmonic means in terms of the elliptic Neuman mean are presented.