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Zbl 0854.26013
Sándor, J.
On certain inequalities for means. II.
(English)
[J] J. Math. Anal. Appl. 199, No.2, 629-635 (1996). ISSN 0022-247X

The author offers new proofs and extensions of inequalities published by {\it M. K. Vamanamurthy} and {\it 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.\par [For Part I cf. J. Math. Anal. Appl. 189, No. 2, 602-606 (1995; Zbl 0822.26014)].
[J.Aczél (Waterloo/Ontario)]
MSC 2000:
*26D15 Inequalities for sums, series and integrals of real functions

Keywords: geometric mean; logarithmic mean; inequalities; arithmetic mean

Citations: Zbl 0802.26009; Zbl 0822.26014

Cited in: Zbl 1104.26013 Zbl 0976.26015

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