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

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 certa...

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Bibliographic Details
Main Authors: Zhi-Jun Guo, Yu-Ming Chu, Ying-Qing Song, Xiao-Jing Tao
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/914242