A quadrature formula associated with a univariate quadratic spline   quasi-interpolant
  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. 
Paul Sablonniere (IRMAR)