The quotient mean is derived from two positive functions that have opposite strict monotonicity,and is a gen-eralized mean including arithmetic,quasi-arithmetic and geometric means.Symmetry,bisymmetry and balancing property are all the important properties of means,a mean which is symmetric and bisymmetric must be balanced.From the definitions of bal-ancing property and quotient mean,it get the equivalence of its symmetry and balancing property.
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