A number of integral inequalities of Hölder and Minkowski type involving a class of generalized weighted quasi-arithmetic means in integral form is established. Some well known inequalities and their generalizations are derived as consequences of our results.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-2-7,
author = {Ondrej Hutn\'\i k},
title = {Some integral inequalities of H\"older and Minkowski type},
journal = {Colloquium Mathematicae},
volume = {107},
year = {2007},
pages = {247-261},
zbl = {1122.26022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-2-7}
}
Ondrej Hutník. Some integral inequalities of Hölder and Minkowski type. Colloquium Mathematicae, Tome 107 (2007) pp. 247-261. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-2-7/