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

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

Abstract

We give several sharp bounds for the Neuman means NAH and NHA (NCA and NAC) 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.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:914242
DOI: 10.1155/2014/914242
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