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A Framework for Proving Hilbert's Double Integral Inequality and Related Results

By Tom C Peachey

Abstract

The classical Hilbert and Hardy integral inequalities are derived within a functional analytic framework. That framework is further used to generate a new inequality, sharper than Hilbert's

Topics: 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, Research Group in Mathematical Inequalities and Applications (RGMIA), Hilbert inequality, Hardy inequality
Publisher: School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
Year: 1999
OAI identifier: oai:eprints.vu.edu.au:17208
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    1. (1978). An extension of a Hardy-Littlewood-P olya inequality,
    2. (1911). Bemerkungen zur Theorie der beschr anken Bilinearformen mit unendlich vielen Ver anderlichen,
    3. (1990). Hardy-type inequalities,
    4. (1925). Note on a theorem of Hilbert concerning series of positive terms,
    5. (1972). Two index laws for fractional integrals and derivatives,
    6. (1930). Uber Reihen mit positiven Gliedern (2te Mitteilung),

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