On Euler midpoint formulae

• Autores: J. Pecaric, M. Matic, L. Dedic
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 46, Nº 3, 2005, págs. 417-438
• Idioma: inglés
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• Resumen

  • Modified versions of the Euler midpoint formula are given for functions whose derivatives are either functions of bounded variation, Lipschitzian functions or functions in L p -spaces. The results are applied to quadrature formulae.