A quadrature formula based on a spline quasi-interpolant
Part of : WSEAS transactions on business and economics ; Vol.5, No.7, 2008, pages 414-423
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Pages:
414-423
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Abstract:
In this paper we study a new simple quadrature rule based on integrating a spline quasi-interpolantoperator on a bonded interval. We also give estimates of the quadrature error for smooth functions in the case ofuniform partition by using the associated Peano kernel. We improve the degree of exactness of quadrature formulaewith the knots depending on a parameter.
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Keywords:
quadrature rule, numerical integration, spline quasi-interpolant
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Περιέχει θεωρήματα και βιβλιογραφία