engleski

General Hardy-type inequalities with non-onjugate exponents

In this paper we derive whole series of new integral inequalities of the Hardy-type, with non-conjugate exponents. At the beginning, we prove and discuss two equivalent general inequalities of such type, as well as their corresponding reverse inequalities. General results are then applied to special Hardy-type kernel and power weights. Also, some estimates of weight functions and constant factors are obtained. In particular, we obtain generalizations and improvements of some recent results, from the literature.

Hardy inequality; Hilbert inequality; Hardy-type kernel; Hardy-type inequality; Hilbert-type inequality; dual Hardy-type inequality; Hardy-type operator; non-conjugate exponents.

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