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Hilbert and Hardy type inequalities /Handley, G. D. January 2005 (has links)
Thesis (Ph.D.)--University of Melbourne, Dept. of Mathematics and Statistics, 2005. / Typescript (photocopy). Includes bibliographical references and index (leaves 143-151).
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Hilbert and Hardy type inequalitiesHandley, G. D. Unknown Date (has links) (PDF)
I use novel splittings of conjugate exponents in Holder’s inequality and other techniques to obtain new inequalities of Hilbert, Hilbert-Pachpatte and Hardy type for series and integrals. The Thesis gives far reaching generalisations of the work of Dragomir-Kim (2003), Pachpatte (1987, 1990, 1992),Handley-Koliha-Pecaric (2000), Hwang-Yang (1990), Hwang(1996), Love-Pecaric (1995) and Mohapatra-Russell (1985) and inequalities for fractional derivatives of integrable functions. (For complete abstract open document)
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