A Hilbert inequality and an Euler-Maclaurin summation formula

• Autores: Mario Krnic, Josip Pecaric
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 48, Nº 3, 2007, págs. 419-431
• Idioma: inglés
• DOI: 10.1017/s1446181100003588
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• Resumen

  • We obtain a generalized discrete Hilbert and Hardy-Hilbert inequality with non-conjugate parameters by means of an Euler-Maclaurin summation formula. We derive some general results for homogeneous functions and compare our findings with existing results. We improve some earlier results and apply the results to some special homogeneous functions.