关键词: 权函数, Hilbert型积分不等式, 等价式, 逆式

Abstract:

Based on  the way of weight functions and the technique of real analysis, an extended Hilberttype integral inequality with a non-homogeneous kernel and a best constant factor was established. Its equivalent form and the reverses are considered.

Key words: weight function, Hilberttype integral inequality, equivalent form, reverse