Optimal Bounds for Neuman Means in Terms of Harmonic and Contraharmonic Means

Zai-Yin He, Yu-Ming Chu and Miao-Kun Wang

Journal of Applied Mathematics, 2013, vol. 2013, 1-4

Abstract:

For with , the Schwab-Borchardt mean is defined as . In this paper, we find the greatest values of and and the least values of and in such that and . Similarly, we also find the greatest values of and and the least values of and in such that and . Here, , , and are the harmonic, arithmetic, and contraharmonic means, respectively, and , , , and are four Neuman means derived from the Schwab-Borchardt mean.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:807623

DOI: 10.1155/2013/807623

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