一个逆向的Hilbert型积分不等式
A REVERSE HILBERT’S TYPE INTEGRAL INEQUALITY
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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.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.