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Multiple Hilbert and Hardy-Hilbert inequalities with non-conjugate parameters

Published online by Cambridge University Press:  17 April 2009

Ilko Brnetić ,
Mario Krnić  and
Josip Pečarić
Ilko Brnetić
Affiliation:
Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, Zagreb, Croatia, e-mail: ilko.brnetic@fer.hr
Mario Krnić
Affiliation:
Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia, e-mail: krnic@math.hr
Josip Pečarić
Affiliation:
Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia, e-mail: pecaric@hazu.hr
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The main objective of this paper is a study of some new generalisations of Hilbert and Hardy-Hilbert type inequalities involving non-conjugate parameters. We prove general forms of multiple Hilbert-type inequalities, and we also introduce multiple inequalities of Hardy-Hilbert type with non-conjugate parameters.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 71 , Issue 3 , June 2005 , pp. 447 - 457
Copyright
Copyright © Australian Mathematical Society 2005

References

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