Sharp integral inequalities based on general Euler two-point formulae

• Autores: J. Pecaric, Ivan Peric, Ana Vukelic
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 46, Nº 4, 2005, págs. 555-574
• Idioma: inglés
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• Resumen

  • We consider a family of two-point quadrature formulae, using some Euler-type identities. A number of inequalities, for functions whose derivatives are either functions of bounded variation, Lipschitzian functions or R-integrable functions, are proved.