An approach to the interpolation of nonuniformly spaced data

摘要

In this paper, we consider the spline in tension as an interpolatory tool that helps us avoid large projector norm. Tension parameters are computed in advance in such a way that the prescribed exponential decay of fundamental functions is assured. Further, an interpolation error bound for a smooth function is produced. This bound depends on the choice of tension parameters, and is of order 4 for small tension values but reduces to 2 as parameters grow to infinity.