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On a multidimensional version of the Hilbert-type inequality in a whole plane (CROSBI ID 209168)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Vuković, Predrag On a multidimensional version of the Hilbert-type inequality in a whole plane // Journal of inequalities and applications, (2014), 272-1-272-9. doi: 10.1186/1029-242X-2014-272

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

Povezanost rada

Matematika

Poveznice
Indeksiranost