CONSTRAINED BEST APPROXIMATION IN HILBERT-SPACE .2. Academic Article uri icon

abstract

  • 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.

published proceedings

  • JOURNAL OF APPROXIMATION THEORY

author list (cited authors)

  • CHUI, C. K., DEUTSCH, F., & WARD, J. D.

citation count

  • 35

complete list of authors

  • CHUI, CK||DEUTSCH, F||WARD, JD

publication date

  • January 1992