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A quadrature formula associated with a univariate quadratic spline quasi-interpolant

Paul Sablonniere
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Abstract

We study a new simple quadrature rule based on integrating a $C^1$ quadratic spline quasi-interpolant on a bounded interval. We give nodes and weights for uniform and non-uniform partitions. We also give error estimates for smooth functions and we compare this formula with Simpson's rule.

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Paul Sablonniere. 2005-12-19. A quadrature formula associated with a univariate quadratic spline quasi-interpolant. https://arxiv.org/abs/math/0512439

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