| Title: | Short proofs of some inequalities of Horst Alzer (English) | 
| Author: | McGregor, Malcolm T. | 
| Language: | English | 
| Journal: | Archivum Mathematicum | 
| ISSN: | 0044-8753 (print) | 
| ISSN: | 1212-5059 (online) | 
| Volume: | 29 | 
| Issue: | 2 | 
| Year: | 1993 | 
| Pages: | 167-168 | 
| Summary lang: | English | 
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| Category: | math | 
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| Summary: | We provide elementary proofs of some inequalities of Horst Alzer. (English) | 
| Keyword: | arithmetic and geometric means | 
| MSC: | 26D15 | 
| idZBL: | Zbl 0814.26015 | 
| idMR: | MR1263118 | 
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| Date available: | 2008-06-06T21:24:37Z | 
| Last updated: | 2012-05-10 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/107479 | 
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| Reference: | [1] Alzer, H.: Inequalities for arithmetic, geometric and harmonic means.Bull. London Math. Soc. 22 (1990), 362-366. Zbl 0707.26014, MR 1058313 | 
| Reference: | [2] Beckenbach, E. F., Bellman, R.: Inequalities.Springer, Berlin, 1961. MR 0158038 | 
| Reference: | [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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