Sharp integral inequalities based on general two-point formulae via an extension of Montgomery's identity

• Autores: Aglic Aljinovic, Josip Pecaric, M. Ribicic Penava
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 51, Nº 1, 2009, págs. 67-101
• Idioma: inglés
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• Resumen

  • We consider families of general two-point quadrature formulae, using the extension of Montgomery�s identity via Taylor�s formula. The formulae obtained are used to present a number of inequalities for functions whose derivatives are from Lp spaces and Bullen-type inequalities.