Peano Kernel Error Analysis for Quadratic Nodal Spline Interpolation

Using a Peano kernel technique, Jackson-type estimates with respect to the maximum norm are derived for the quadratic nodal spline interpolation error. The explicitly calculated error constants are shown to grow linearly with respect to the local mesh ratio parameter, and are, at least for the important special case of a uniform spline knot sequence, significantly smaller than those previously calculated by different methods.