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On a new bivariate mean

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Abstract

A new bivariate mean is introduced and studied. The mean under discussion is defined as the degenerate case of the completely symmetric elliptic integral of the second kind. Its relationship with the Schwab–Borchardt mean is established. Four particular cases of the mean in question are discussed. Sharp bounds and the Ky Fan inequalities for the quadruple of new means are established.

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  1. Department of Mathematics, Mailcode 4408, Southern Illinois University, 1245 Lincoln Drive, Carbondale, IL, 62901, USA

    Edward Neuman

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  1. Edward Neuman
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Neuman, E. On a new bivariate mean. Aequat. Math. 88, 277–289 (2014). https://doi.org/10.1007/s00010-013-0224-8

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  • DOI: https://doi.org/10.1007/s00010-013-0224-8

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