We present comparison theorems for the weighted quasi-arithmetic means and for weighted Bajraktarević means without supposing in advance that the weights are the same.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-1-6, author = {Gyula Maksa and Zsolt P\'ales}, title = {Remarks on the comparison of weighted quasi-arithmetic means}, journal = {Colloquium Mathematicae}, volume = {120}, year = {2010}, pages = {77-84}, zbl = {1201.39019}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-1-6} }
Gyula Maksa; Zsolt Páles. Remarks on the comparison of weighted quasi-arithmetic means. Colloquium Mathematicae, Tome 120 (2010) pp. 77-84. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-1-6/