General quadrature formulae based on the weighted Montgomery identity and related inequalities (CROSBI ID 190596)
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Podaci o odgovornosti
Klaričić Bakula, Milica ; Pečarić, Josip ; Ribičić Penava, Mihaela
engleski
General quadrature formulae based on the weighted Montgomery identity and related inequalities
In this paper two families of general two-point and closed four-point weighted quadrature formulae are established. Obtained formulae are used to present several Hadamard type and Ostrowski type inequalities for alpha-L-Holder functions. These results are applied to establish error estimates for the Gauss-Chebyshev quadratures.
Two-point quadrature ; Four-point quadrature ; Hadamard's inequalities ; Montgomery identity
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Podaci o izdanju
17 (515)
2013.
139-149
objavljeno
1845-4100
1849-2215
Povezanost rada
Matematika