Exponential decay of \(C^ 1\)-cubic splines vanishing at two symmetric points in each knot interval (Q1360722)

This is a continuation of a former paper of the \textit{Sang Dong Kim} and of \textit{S. V. Parter} [Numer. Math. 72, No. 1, 39-72 (1995; Zbl 0844.65086)]. Now the result (exponential decay of certain cubic splines) is extended to the case of arbitrary non-uniform grids. Again this results in a preconditioned cubic collocation method. (There is a misprint in \(F(a,b)|_{K_{24}}\) on p. 484; the correct numerator \((2- \Theta^2+\Theta)(1+ \Theta)\) yields a bound much more than that given here -- but also less than the \(Q\) used here, fortunately!).