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2011 Multiple Hilbert's type inequalities with a homogeneous kernel
Ivan Peric, Predrag Vukovic
Banach J. Math. Anal. 5(2): 33-43 (2011). DOI: 10.15352/bjma/1313363000

Abstract

The main objective of this paper is a study of some new generalizations of Hilbert's and Hardy-Hilbert's type inequalities. We apply our general results to homogeneous functions. Also, we obtain the best possible constants when the parameters satisfy appropriate conditions.

Citation

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Ivan Peric. Predrag Vukovic. "Multiple Hilbert's type inequalities with a homogeneous kernel." Banach J. Math. Anal. 5 (2) 33 - 43, 2011. https://doi.org/10.15352/bjma/1313363000

Information

Published: 2011
First available in Project Euclid: 14 August 2011

zbMATH: 1223.26044
MathSciNet: MR2780867
Digital Object Identifier: 10.15352/bjma/1313363000

Subjects:
Primary: 26D15
Secondary: 47A07

Keywords: conjugate exponents , homogeneous kernel , multilinear Hilbert's inequality , the best possible constant

Rights: Copyright © 2011 Tusi Mathematical Research Group

Vol.5 • No. 2 • 2011
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