title: Parameterized hilbert-type integral inequalities in the whole plane.
abstract: By the use of the way of real analysis, we estimate the weight functions and give some new Hilbert-type integral inequalities in the whole plane with nonhomogeneous kernels and multiparameters. The constant factors related to the hypergeometric function and the beta function are proved to be the best possible. We also consider the equivalent forms, the reverses, and some particular cases in the homogeneous kernels.
authors.affiliation: Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, China.
authors.forename: Qiliang
authors.identifier: 0000-0002-9846-6348
authors.initials: Q
authors.lastname: Huang
authors.affiliation: Department of Mathematics and Computer Science, Longyan University, Longyan, Fujian 364012, China.
authors.forename: Shanhe
authors.identifier: 0000-0002-8772-8170
authors.initials: S
authors.lastname: Wu
authors.affiliation: Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, China.
authors.forename: Bicheng
authors.identifier: 0000-0001-6830-7795
authors.initials: B
authors.lastname: Yang
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical