Short proofs of some inequalities of Horst Alzer

Malcolm T. McGregor

Archivum Mathematicum (1993)

  • Volume: 029, Issue: 3-4, page 167-168
  • ISSN: 0044-8753

Abstract

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We provide elementary proofs of some inequalities of Horst Alzer.

How to cite

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McGregor, Malcolm T.. "Short proofs of some inequalities of Horst Alzer." Archivum Mathematicum 029.3-4 (1993): 167-168. <http://eudml.org/doc/247445>.

@article{McGregor1993,
abstract = {We provide elementary proofs of some inequalities of Horst Alzer.},
author = {McGregor, Malcolm T.},
journal = {Archivum Mathematicum},
keywords = {arithmetic and geometric means; Ky Fan's inequality; arithmetic mean; geometric mean; harmonic mean},
language = {eng},
number = {3-4},
pages = {167-168},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Short proofs of some inequalities of Horst Alzer},
url = {http://eudml.org/doc/247445},
volume = {029},
year = {1993},
}

TY - JOUR
AU - McGregor, Malcolm T.
TI - Short proofs of some inequalities of Horst Alzer
JO - Archivum Mathematicum
PY - 1993
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 029
IS - 3-4
SP - 167
EP - 168
AB - We provide elementary proofs of some inequalities of Horst Alzer.
LA - eng
KW - arithmetic and geometric means; Ky Fan's inequality; arithmetic mean; geometric mean; harmonic mean
UR - http://eudml.org/doc/247445
ER -

References

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  1. Inequalities for arithmetic, geometric and harmonic means, Bull. London Math. Soc. 22 (1990), 362-366. (1990) Zbl0707.26014MR1058313
  2. Inequalities, Springer, Berlin, 1961. MR0158038
  3. A class of inequalities for the symmetric functions (Chinese), Acta Math. Sinica 27 (1984), 485-497. (1984) MR0767323

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