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Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity (CROSBI ID 190597)

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Pečarić, Josip ; Ribičić Penava, Mihaela Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity // International journal of mathematics and mathematical sciences, 2012 (2012), 343191-1-343191-12

Podaci o odgovornosti

Pečarić, Josip ; Ribičić Penava, Mihaela

engleski

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

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

four-point quadrature formula; Montgomery identity; sharp inequalities

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Podaci o izdanju

2012

2012.

343191-1-343191-12

objavljeno

0161-1712

1687-0425

Povezanost rada

Matematika

Poveznice