Sharp Bounds for Neuman Means by Harmonic, Arithmetic, and Contraharmonic Means. (23rd July 2014) - Guo, Zhi-Jun
Abstract : We give several sharp bounds for the Neuman meansN A H andN H A (N C A andN A C ) in terms of harmonic mean H (contraharmonic mean C ) or the geometric convex combination of arithmetic mean A and harmonic mean H (contraharmonic mean C and arithmetic mean A ) and present a new chain of inequalities for certain bivariate means.