engleski

Advanced refinements of Hilbert-type inequalities in a difference form

In this talk we establish several more accurate Hilbert-type inequalities in a difference form. Our main results rely on some recent improvements of the Young inequality. First, we give refinements and reverses of the Holder inequality. Then, by virtue of the improved Holder inequality, we give two classes of refinements and reverses for general Hilbert-type inequalities. As an application, we give strengthened forms of the classical Hilbert and Hardy inequalities.

Hilbert inequality ; Hardy inequality ; Young inequality

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