多参量Hilbert积分不等式的推广
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.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.