谢子填, 曾峥. 一个混合型实齐次核的Hilbert 型积分不等式[J]. 华南师范大学学报(自然科学版), 2012, 44(3). doi: 10.6054/j.jscnun.2012.06.008
引用本文: 谢子填, 曾峥. 一个混合型实齐次核的Hilbert 型积分不等式[J]. 华南师范大学学报(自然科学版), 2012, 44(3). doi: 10.6054/j.jscnun.2012.06.008
A Hilbert-type Integral Inequality with a Mix Homogeneous Kernel of Real Number-Degree[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(3). doi: 10.6054/j.jscnun.2012.06.008
Citation: A Hilbert-type Integral Inequality with a Mix Homogeneous Kernel of Real Number-Degree[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(3). doi: 10.6054/j.jscnun.2012.06.008

一个混合型实齐次核的Hilbert 型积分不等式

A Hilbert-type Integral Inequality with a Mix Homogeneous Kernel of Real Number-Degree

  • 摘要: 应用权函数的方法,给出了一个新的混合型实齐次核的~Hilbert 型积分不等式及其等价形式,同时证明了常数因子的最佳性.

     

    Abstract: By estimating the weight function, a new Hilbert-type integral inequality with a mix homogeneous kernel of real number degree is given in this work. The equivalent inequality and the reverse forms are also considered.

     

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