A new class of general refined Hardy-type inequalities with kernels (CROSBI ID 173555)
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Podaci o odgovornosti
Čižmešija, Aleksandra ; Krulić, Kristina ; Pečarić, Josip
engleski
A new class of general refined Hardy-type inequalities with kernels
We state and prove a new class of re fined general Hardy-type inequalities related to the weighted Lebesgue spaces L^p and L^q, convex functions and integral operators. We also provide a class of new sufficient conditions for a weighted modular inequality to hold. As special cases of our results, we obtain refi nements of the classical one-dimensional Hardy's, Polya-Knopp's and Hardy-Hilbert's inequality and of related dual inequalities, as well as a generalization and re finement of the classical Godunova's inequality. Finally, we show that our results may be seen as generalizations of some recent results related to Riemann-Liouville's and Weyl's operator.
Hardy's inequality; Hardy-Hilbert's inequality; weights; power weights; convex functions; Hardy's operator; kernel
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Podaci o izdanju
17
2013.
53-80
objavljeno
1845-4100