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Sharp integral inequalities based on general three-point formula (CROSBI ID 191796)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Pečarić, Josip, Ribičić Penava, Mihaela Sharp integral inequalities based on general three-point formula // Annals of University of Craiova, Mathematics and Computer Science Series, 39 (2012), 2; 132-147

Podaci o odgovornosti

Pečarić, Josip, Ribičić Penava, Mihaela

engleski

Sharp integral inequalities based on general three-point formula

In this paper we establish the families of general three-point quadrature formulae, by using the generalization of the weighted Montgomery identity via Taylor's formula. The results are applied to prove a number of inequalities which give error estimates for the general three-point formula and for three-point Gauss-Chebyshev formulae of the first and of the second kind.

Taylor's formula; Montgomery identity; three-point formulae

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Podaci o izdanju

39 (2)

2012.

132-147

objavljeno

1223-6934

2246-9958

Povezanost rada

Matematika

Indeksiranost