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Hilbert's integral inequality in whole plane with general homogeneous kernel (CROSBI ID 192360)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Vuković, Predrag Hilbert's integral inequality in whole plane with general homogeneous kernel // Annals of University of Craiova, Mathematics and Computer Science Series, 39 (2012), 2; 244-250

Podaci o odgovornosti

Vuković, Predrag

engleski

Hilbert's integral inequality in whole plane with general homogeneous kernel

The main objective of this paper is a study of some new generalizations of Hilbert's and Hardy-Hilbert's type inequalities. We build a new Hilbert's inequality with general homogeneous functions of degree $-2s, $ $s\geq 0$ in whole plane. Also, we obtain the best possible constants when the parameters satisfy appropriate conditions.

Hilbert's inequality; homogeneous kernel; conjugate exponents

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Podaci o izdanju

39 (2)

2012.

244-250

objavljeno

1223-6934

2246-9958

Povezanost rada

Matematika

Indeksiranost