On the smoothness of best L 2 L_{2} approximants from nonlinear spline manifolds Academic Article uri icon

abstract

  • Let Sn be the nonlinear spline manifold of order k and with n — k interior variable knots. We prove that all best L2[0, 1] approximants from sj to a continuous function on [0, 1 ] are also continuous there. We also prove that there exists a C [0, 1] function with no C [0, 1] best ¿2[0, 1] approximants from Snk. © 1977, American Mathematical Society.

author list (cited authors)

  • Chui, C. K., Smith, P. W., & Ward, J. D.

publication date

  • January 1, 1977 11:11 AM