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

Issue:
Pages:
414-423
Author:
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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Subject (LC):
Keywords:
quadrature rule, numerical integration, spline quasi-interpolant
Notes:
Περιέχει θεωρήματα και βιβλιογραφία