一个含参数且非齐次核的Hilbert型积分不等式
A Hilbert-Type Integral Inequality with Parameters and a Non-homogeneous Kernel
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摘要: 应用权函数的方法及实分析技巧,建立一个具有最佳常数因子的含参数且非齐次核的Hilbert型积分不等式,还考虑了其等价形式与相应逆式.Abstract: By using weight functions and the technique of real analysis,a new Hilbert-type integral inequality with parameters,a non-homogeneous kernel and a best constant factor is given.The equivalent form and the reverse inequality are considered.