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General weighted two-point Radau and Gauss and three-point Lobatto quadrature formulae for functions in L p spaces |
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| Authors: | A Aglić Aljinović S Kovač J Pečarić |
| Institution: | 1. Department of Applied Mathematics, Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, 10 000, Zagreb, Croatia 2. Faculty of Geotechnical Engineering, University of Zagreb, Hallerova aleja 7, 42 000, Vara?din, Croatia 3. Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovica 28a, 10000, Zagreb, Croatia |
| Abstract: | We use a recently obtained generalization of the weighted Montgomery identity to obtain new sharp weighted generalizations of Ostrowski type in- equalities, as well as weighted 2-point Radau and Gauss and 3-point Lobatto quadrature formulae for functions whose first derivative belong to the L p spaces. |
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