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On a multidimensional version of the Hilbert-type inequality (CROSBI ID 183033)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Krnić, Mario ; Vuković, Predrag
On a multidimensional version of the Hilbert-type inequality // Analysis Mathematica, 38 (2012), 4; 291-303
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Krnić, Mario ; Vuković, Predrag
engleski
On a multidimensional version of the Hilbert-type inequality
The main objective of this paper is a study of some new multidimensional Hilbert-type inequalities with a general homogeneous kernel. We derive a pair of equivalent inequalities, and also establish the conditions under which the constant factors included in obtained inequalities are the best possible. Some applications in particular settings are also considered.
Hilbert-type inequality; homogeneous kernel; the best possible constant; conjugate exponents
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