The degree of approximation by Chebyshevian splines Academic Article uri icon


  • This paper studies the connections between the smoothness of a function and its degree of approximation by Chebyshevian splines. This is accomplished by proving companion direct and inverse theorems which give a characterization of smoothness in terms of degree of approximation. A determination of the saturation properties is included.

published proceedings

  • Transactions of the American Mathematical Society

author list (cited authors)

  • DeVore, R., & Richards, F.

citation count

  • 6

complete list of authors

  • DeVore, R||Richards, F

publication date

  • January 1973