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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 515=17, 2013.

Original scientific paper

General quadrature formulae based on the weighted Montgomery identity and related inequalities

Milica Klaričić Bakula orcid id 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

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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

https://hrcak.srce.hr/104413

Publication date:

27.6.2013.

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