一个新的有最佳常数因子的 Hilbert型积分不等式
A Hilbert's Integral Inequality with a Best Constant Factor
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摘要: 应用权函数,给出一个新的有最佳常数因子的 Hilbert型积分不等式. 同时给出它的等价式及其逆向不等式.Abstract: By introducing some parameters and estimating the weight function, a new Hilbert-type integral inequality with a best constant factor is given. The equivalent inequality and the reverse forms are also considered.