Supra-convergent schemes on irregular grids
Mathematics of Computation
Journal of Approximation Theory
Error bounds for Lagrange interpolation
Journal of Approximation Theory
Elementary Numerical Analysis: An Algorithmic Approach
Elementary Numerical Analysis: An Algorithmic Approach
A divided difference expansion of a divided difference
Journal of Approximation Theory
On the divided differences of the remainder in polynomial interpolation
Journal of Approximation Theory
Approximation by B-spline convolution operators: a probabilistic approach
Journal of Computational and Applied Mathematics
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We derive an expression for the remainder in divided difference expansions and use it to give new error bounds for numerical differentiation.