On certain inequalities for means. II (Q1916828)

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scientific article; zbMATH DE number 902546
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On certain inequalities for means. II
scientific article; zbMATH DE number 902546

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    On certain inequalities for means. II (English)
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    14 July 1996
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    The author offers new proofs and extensions of inequalities published by \textit{M. K. Vamanamurthy} and \textit{M. Vuorinen} in J. Math. Anal. Appl. 183, No. 1, 155-166 (1994; Zbl 0802.26009) and also new inequalities. Something old -- something new is in the following: Gauss's medium arithmetico-geometricum lies between the geometric and arithmetic mean of \(A\) and \(G\), the arithmetic and geometric means of two positive numbers. [For Part I cf. J. Math. Anal. Appl. 189, No. 2, 602-606 (1995; Zbl 0822.26014)].
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    geometric mean
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    logarithmic mean
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    inequalities
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    arithmetic mean
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