Bounds for the Arithmetic Mean in Terms of the Neuman-Sándor and Other Bivariate Means

Fan Zhang, Yu-Ming Chu and Wei-Mao Qian

Journal of Applied Mathematics, 2013, vol. 2013, 1-7

Abstract:

We present the largest values , , and and the smallest values , , and such that the double inequalities   ,       , and     hold for all with , where , , , and denote the Neuman-Sándor, arithmetic, Heronian, harmonic, and harmonic root-square means of and , respectively.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:582504

DOI: 10.1155/2013/582504

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