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)
| Identifer | oai:union.ndltd.org:ADTP/245558 |
| Creators | Handley, G. D. |
| Source Sets | Australiasian Digital Theses Program |
| Language | English |
| Detected Language | English |
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