On Berman's phenomenon in interpolation theory Academic Article uri icon

abstract

  • In 1965, D.L. Berman established an interesting divergence theorem concerning Hermite-Fej√©r interpolation on the extended Chebyshev nodes. In this paper it is shown that this phenomenon is not an isolated incident. A similar divergence theorem is proved for a higher order interpolation process. The paper closes with a list of several related open problems.

publication date

  • June 1975