On a Hilbert-type inequality with a homogeneous kernel in ℝ2 and its equivalent form
Department of Mathematics, Guangdong University of Education, Guangzhou 510303, People's Taiwan
Journal of Inequalities and Applications 2012, 2012:94 doi:10.1186/1029-242X-2012-94Published: 20 April 2012
By using the way of weight functions and the technique of real analysis, a new integral inequality with a homogeneous kernel and the best constant factor in ℝ2 is given. The equivalent form and the reverses are considered.
Mathematics Subject Classification (2000): 26D15.