Constrained best approximation in Hilbert space, II Academic Article uri icon


  • The problem considered is that of characterizing the best approximation, to a given x in a Hilbert space, from a set which is the intersection of a closed convex cone and a closed linear variety. This problem is shown to be equivalent to the (generally much simpler) problem of characterizing best approximations to a certain perturbation of x from the cone alone (or a subcone of the cone). Several applications to shape-preserving interpolation are given. © 1992.

author list (cited authors)

  • Chui, C. K., Deutsch, F., & Ward, J. D.

citation count

  • 24

publication date

  • November 1992