We prove a multi-parameter Hilbert-type integral inequality with a hybrid kernel. We describe the best constant in the inequality in terms of hypergeometric functions. Some equivalent forms of the inequalities are also studied. By specifying parameter values we obtain results proved by other authors as well as many new inequalities.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm6572-1-2016,
author = {Qiong Liu and Dazhao Chen},
title = {A Hilbert-type integral inequality with a hybrid kernel and its applications},
journal = {Colloquium Mathematicae},
volume = {144},
year = {2016},
pages = {193-207},
zbl = {06574982},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6572-1-2016}
}
Qiong Liu; Dazhao Chen. A Hilbert-type integral inequality with a hybrid kernel and its applications. Colloquium Mathematicae, Tome 144 (2016) pp. 193-207. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6572-1-2016/