On Hilbert type inequalities with non-conjugate parameters (Q1021831)
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scientific article; zbMATH DE number 5563123
| Language | Label | Description | Also known as |
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| English | On Hilbert type inequalities with non-conjugate parameters |
scientific article; zbMATH DE number 5563123 |
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On Hilbert type inequalities with non-conjugate parameters (English)
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9 June 2009
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Different versions of the Hilbert inequality has been investigated by many mathematicians, see [\textit{A. Kufner}, \textit{L. Maligranda} and \textit{L.-E. Persson}, The Hardy inequality. About its history and some related results, Pilsen: Vydavatelský Servis (2007; Zbl 1213.42001)]. Utilizing the properties of rearrangement of a function, the authors present some Hilbert type inequalities with non-conjugate parameters and by using a new analytic technique they find the best possible constants in these inequalities.
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Hilbert's inequality
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rearrangement
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norm
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