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Erschienen in:
Open Access 01.12.2008 | Research Article
The Hilbert-Type Integral Inequalities with a Homogeneous Kernel of
-Degree
Erschienen in: Journal of Inequalities and Applications | Ausgabe 1/2008
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Abstract
By introducing an integral operator, a norm with a weight function, and two pairs of conjugate exponents, we find the conditions for the Hilbert-type integral inequalities with a homogeneous kernel of
-degree. We also prove that the constant factors in the inequalities are all the best possible. As the particular situations, some new inequalities with a homogeneous kernel and their other two forms are given. We extend some previous results.
-degree. We also prove that the constant factors in the inequalities are all the best possible. As the particular situations, some new inequalities with a homogeneous kernel and their other two forms are given. We extend some previous results.