engleski

A class of Hilbert-type inequalities obtained via the improved Young inequality

In this article we establish a class of more accurate Hilbert-type inequalities based on an improved form of the Young inequality, known from the literature. We obtain refined and reversed relations in a general multidimensional case. As an application, we give improved versions of the classical Hilbert and Hardy inequalities.

Hilbert inequality ; Hardy inequality ; Young inequality ; Holder inequality ; refinement

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