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/