Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity

J. Pečarić and M. Ribičić Penava

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-12

Abstract:

We consider families of general four-point quadrature formulae using a generalization of the Montgomery identity via Taylor’s formula. The results are applied to obtain some sharp inequalities for functions whose derivatives belong to ð ¿ ð ‘ spaces. Generalizations of Simpson’s 3/8 formula and the Lobatto four-point formula with related inequalities are considered as special cases.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:343191

DOI: 10.1155/2012/343191

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