一个逆向的Hilbert型积分不等式

详细信息

A REVERSE HILBERT’S TYPE INTEGRAL INEQUALITY

摘要: 通过引入参数及估算权系数,建立一个具有混合核的逆向Hilbert型积分不等式,并证明其常数因子为最佳值.作为应用,给出了相应的等价形式及一些特殊结果.
- Hilbert型积分不等式 /
- 权函数 /
- 等价形式 /
- Holder不等式
Abstract: By introducing some parameters and estimating the weight function, a reverse Hilbert-type integral inequality with a mixed kernel and a best constant factor is given. Furthermore, the equivalent forms and some particular results are also considered.
- Hilbert-type intergral inequality /
- weight function /
- equivalent form /
- Holder’s inequality