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