Short proofs of some inequalities of Horst Alzer

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Short proofs of some inequalities of Horst Alzer. (English). Archivum Mathematicum, vol. 29 (1993), issue 2, pp. 167-168

MSC: 26D15 | MR 1263118 | Zbl 0814.26015

Keywords:
arithmetic and geometric means

Summary:
We provide elementary proofs of some inequalities of Horst Alzer.

References:

[1] Alzer, H.: Inequalities for arithmetic, geometric and harmonic means. Bull. London Math. Soc. 22 (1990), 362-366. MR 1058313 | Zbl 0707.26014

[2] Beckenbach, E. F., Bellman, R.: Inequalities. Springer, Berlin, 1961. MR 0158038

[3] Wang, W.-L., Wang, P.-F.: A class of inequalities for the symmetric functions (Chinese). Acta Math. Sinica 27 (1984), 485-497. MR 0767323

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