多参量Hilbert积分不等式的推广

详细信息

The Generalization of Hilbert's Integral Inequality With Some Parameters

摘要: 通过引入多个参数和 $\beta$ 函数,得到一个推广的具有最佳常数因子的Hilbert积分不等式.同时, 考虑了它的等价形式和一些特殊结果.
- Hilbert积分不等式 /
- 权系数 /
- β函数 /
- Holder不等式
Abstract: By introducing some parameters, a new generalization of Hilbert's integral inequality with the best constant factor was obtained, which involves the $\beta$ function. As its applications, the equivalent form and some particular results were investigated.
- Hilbert's integral inequality /
- weight coefficient /
- βfunction /
- Holder's inequality