Sharp Bounds for Neuman Means by Harmonic, Arithmetic, and Contraharmonic Means

Zhi-Jun Guo, Yu-Ming Chu, Ying-Qing Song and Xiao-Jing Tao

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

We give several sharp bounds for the Neuman means and ( and ) 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:914242

DOI: 10.1155/2014/914242

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