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

Autori
Vuković, Predrag

Izvornik
Analele Universităţii din Craiova. Seria matematică, informatică (1223-6934) 39 (2012), 2; 244-250

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Hilbert's inequality; homogeneous kernel; conjugate exponents

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA