一个含变量核的Hilbert型积分不等式

A Hilbert-type Integral Inequality with the Variable Kernel

运用实分析的技巧及估算权函数的方法,建立一个新的具有最佳常数因子的核含多变量min{1,x^(δλ)y~λ}/(a+bx^(δλ)y+max{1,xx^(δλ)y~λ})的Hilbert型积分不等式,得到了其等价形式。

By using the technique of real analysis and the way of weight coefficient,a new Hilbert-type integral with the variable kernel min{1,x^(δλ)y~λ}/(a+bx^(δλ)y+max{1,xx^(δλ)y~λ}) and a were given. The equivalent form was also given.