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A new Hilbert-type integral inequality and its generalization. (Chinese. English summary) Zbl 1081.26022

Summary: By means of estimating a weight function and introducing the beta function, a new Hilbert-type integral inequality with a parameter and a best constant factor is established and two best generalized forms of it and corresponding equivalent forms are given.

MSC:

26D15 Inequalities for sums, series and integrals
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