Quasi-arithmetic means
Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia (2015)
- Volume: 7, page 35-43
- ISSN: 2080-9751
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topJan Górowski, and Adam Łomnicki. "Quasi-arithmetic means." Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia 7 (2015): 35-43. <http://eudml.org/doc/296298>.
@article{JanGórowski2015,
abstract = {We present a list of geometric problems with solutions that lead to knownor less known means. We also prove, by elementary means, some property for so-calledquasi-arithmetic means. We use the proved result to justify some inequalities betweenthe means.},
author = {Jan Górowski, Adam Łomnicki},
journal = {Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia},
keywords = {Quasi-arithmetic means; inequalities involving means; extended mean values; means in geometry},
language = {pol},
pages = {35-43},
title = {Quasi-arithmetic means},
url = {http://eudml.org/doc/296298},
volume = {7},
year = {2015},
}
TY - JOUR
AU - Jan Górowski
AU - Adam Łomnicki
TI - Quasi-arithmetic means
JO - Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
PY - 2015
VL - 7
SP - 35
EP - 43
AB - We present a list of geometric problems with solutions that lead to knownor less known means. We also prove, by elementary means, some property for so-calledquasi-arithmetic means. We use the proved result to justify some inequalities betweenthe means.
LA - pol
KW - Quasi-arithmetic means; inequalities involving means; extended mean values; means in geometry
UR - http://eudml.org/doc/296298
ER -
References
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- Górowski, J., Łomnicki, A.: 2010, O srednich, Ann. Univ. Paed. Cracov. Studia ad Didacticam Math. Pertinentia 3, 55-66.
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- Leach, E., Sholander, M.: 1978, Extended mean values, Amer. Math. Monthly 85, 84-90.
- Leach, E., Sholander, M.: 1983, Extended mean values ii, J. Math. Appl. 92, 207-223.
- Witkowski, A.: 2009, Comparison theorem for two-parameter means, Math. Inequal. Appl. 12, 11-20.
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