Geodesic
A Hilbert-type integral inequality with a hybrid kernel and its applications
Qiong Liu1 ; Dazhao Chen1
1 Department of Science and Information Shao Yang University Shao Yang, China 422000
Colloquium Mathematicum, Tome 143 (2016) no. 2, pp. 193-207.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm6572-1-2016
Keywords: prove multi parameter hilbert type integral inequality hybrid kernel describe best constant inequality terms hypergeometric functions equivalent forms inequalities studied specifying parameter values obtain results proved other authors many inequalities

Qiong Liu 1 ; Dazhao Chen 1

1 Department of Science and Information Shao Yang University Shao Yang, China 422000 
@article{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 Mathematicum},
     pages = {193--207},
     publisher = {mathdoc},
     volume = {143},
     number = {2},
     year = {2016},
     doi = {10.4064/cm6572-1-2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm6572-1-2016/}
}
TY  - JOUR
AU  - Qiong Liu
AU  - Dazhao Chen
TI  - A Hilbert-type integral inequality with a hybrid kernel and its applications
JO  - Colloquium Mathematicum
PY  - 2016
SP  - 193
EP  - 207
VL  - 143
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm6572-1-2016/
DO  - 10.4064/cm6572-1-2016
LA  - en
ID  - 10_4064_cm6572_1_2016
ER  - 
%0 Journal Article
%A Qiong Liu
%A Dazhao Chen
%T A Hilbert-type integral inequality with a hybrid kernel and its applications
%J Colloquium Mathematicum
%D 2016
%P 193-207
%V 143
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm6572-1-2016/
%R 10.4064/cm6572-1-2016
%G en
%F 10_4064_cm6572_1_2016
Qiong Liu; Dazhao Chen. A Hilbert-type integral inequality with a hybrid kernel and its applications. Colloquium Mathematicum, Tome 143 (2016) no. 2, pp. 193-207. doi : 10.4064/cm6572-1-2016. http://geodesic.mathdoc.fr/articles/10.4064/cm6572-1-2016/

Cité par Sources :