engleski

Half-discrete Hilbert-type inequalities involving differential operators

Motivated by some recent results, in this paper we derive several half-discrete Hilbert-type inequalities with a homogeneous kernel involving some differential operators. The main results are proved for the case of non-conjugate parameters. After reduction to the conjugate case, we show that the constants appearing on the right-hand sides of these inequalities are the best possible.

Hilbert inequality ; Hardy inequality ; half-discrete inequality ; differential operator ; homogeneous function

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