杨必成. 一个含参数且非齐次核的Hilbert型积分不等式[J]. 华南师范大学学报(自然科学版), 2010, (4).
引用本文: 杨必成. 一个含参数且非齐次核的Hilbert型积分不等式[J]. 华南师范大学学报(自然科学版), 2010, (4).
A Hilbert-Type Integral Inequality with Parameters and a Non-homogeneous Kernel[J]. Journal of South China Normal University (Natural Science Edition), 2010, (4).
Citation: A Hilbert-Type Integral Inequality with Parameters and a Non-homogeneous Kernel[J]. Journal of South China Normal University (Natural Science Edition), 2010, (4).

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

  • 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.

     

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