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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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