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One point quadrature rule with cardinal B-spline
Authors:Zlatko Udovi i&#x;
Institution:aUniversity of Sarajevo, Faculty of Sciences, Department of Mathematics, Zmaja od Bosne 33-35, 71000 Sarajevo, Bosnia and Herzegovina
Abstract:To compute approximately an integral
(1)
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where φm(dot operator) is cardinal B-spline, we used composite rectangular rule. We proved that, on the “quasi uniform” mesh, the used formula has, conditionally speaking, algebraic degree of exactness m−1. Under additional assumptions, algebraic degree of exactness is m.
Keywords:Quadratures  Cardinal B-spline
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