engleski

Some improvements on general Hilbert inequality

In this paper, it is shown that some new improvements on general Hilbert and Hardy inequalities can be established by means of sharpening of Holder's inequality and the positive definiteness of Gramm matrix. In particular, we give some strengthened results of classical Hilbert and Hardy inequalities.

Inequalities; Gramm matrix; Hilbert's inequality; Hardy's inequality; Holder's inequality; homogeneous function; kernel; reverse inequality

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