On families of quadrature formulas based on Euler identities |
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| Authors: | Iva Franji? Josip Pe?ari? |
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| Institution: | a Faculty of Food Technology and Biotechnology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia
b Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovi?a 30, 10000 Zagreb, Croatia |
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| Abstract: | A family consisting of quadrature formulas which are exact for all polynomials of order ?5 is studied. Changing the coefficients, a second family of quadrature formulas, with the degree of exactness higher than that of the formulas from the first family, is produced. These formulas contain values of the first derivative at the end points of the interval and are sometimes called “corrected”. |
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| Keywords: | Closed 5-point quadrature formulas Corrected quadrature formulas Lobatto formulas Gauss formulas Bernoulli polynomials Extended Euler formulas Sharp estimates of error |
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