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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

Podaci o odgovornosti

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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Podaci o izdanju

38 (4)

2012.

291-303

objavljeno

0133-3852

Povezanost rada

Matematika

Indeksiranost