Original scientific paper
General quadrature formulae based on the weighted Montgomery identity and related inequalities
Milica Klaričić Bakula
orcid.org/0000-0002-8753-2186
; Department of Mathematics, Faculty of Science, University of Split, Teslina 12, 21000 Split, Croatia
Josip Pečarić
; Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovi´ca 30, 10000 Zagreb, Croatia
Mihaela Ribičić Penava
; Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, 31000 Osijek, Croatia
Abstract
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.
Keywords
Two-point quadrature; Four-point quadrature; Hadamard’s inequalities; Montgomery identity
Hrčak ID:
104413
URI
Publication date:
27.6.2013.
Visits: 919 *