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A Hilbert-type inequality with a mixed kernel and extensions. (Chinese. English summary) Zbl 1199.26103

Summary: By using the way of weight function, a new Hilbert-type integral inequality with a mixed kernel is established and the constant factor is shown to be optimum. The equivalent form and the optimal extended integral inequalities are considered.

MSC:

26D15 Inequalities for sums, series and integrals
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