Quasi-arithmetic means
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 7 (2015) no. 1, pp. 35-43
Cet article a éte moissonné depuis la source The Polish Digital Mathematics Library
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.
Keywords:
Quasi-arithmetic means, inequalities involving means, means in geometry, extended mean values
@article{AUPCDM_2015_7_1_a2,
author = {G\'orowski, Jan and {\L}omnicki, Adam},
title = {Quasi-arithmetic means},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia},
pages = {35--43},
year = {2015},
volume = {7},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPCDM_2015_7_1_a2/}
}
TY - JOUR AU - Górowski, Jan AU - Łomnicki, Adam TI - Quasi-arithmetic means JO - Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia PY - 2015 SP - 35 EP - 43 VL - 7 IS - 1 UR - http://geodesic.mathdoc.fr/item/AUPCDM_2015_7_1_a2/ LA - en ID - AUPCDM_2015_7_1_a2 ER -
Górowski, Jan; Łomnicki, Adam. Quasi-arithmetic means. Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 7 (2015) no. 1, pp. 35-43. http://geodesic.mathdoc.fr/item/AUPCDM_2015_7_1_a2/