Corrigendum to “Mixed interpolating-smoothing splines and the v-spline” [J. Math. Anal. Appl. 322 (2006) 28–40] (S0022247X05006803) (10.1016/j.jmaa.2005.07.007)

In [6], the problem of mixed interpolation and smoothing by splines was generalized and applied to certain practical problems. In particular, conditions for the existence of solutions were provided in Theorem 1. In Proposition 6 of [8], it was shown that solutions may not always exist under the conditions of Theorem 1. Therefore, it is the purpose of this paper to rectify this theorem. We do so with an additional condition on finiteness of the kernel of an operator. While the original proof holds with this finiteness assumption, we provide a revised proof that more clearly shows where this assumption is used. This extra assumption of finiteness has been assumed in all examples by the author in [6].