On a multidimensional version of the Hilbert-type inequality in a whole plane (CROSBI ID 209168)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Vuković, Predrag
engleski
On a multidimensional version of the Hilbert-type inequality in a whole plane
The main objective of this paper is a study of some new multidimensional Hilbert-type inequalities with a general homogeneous kernel in whole plane. 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
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2014.
272-1-272-9
objavljeno
1029-242X
10.1186/1029-242X-2014-272