In this paper, the behavior of the Hermite-Fejér interpolation for functions with derivatives of bounded variation on [-1,1] is studied by taking the interpolation over the zeros of Chebyshev polynomials of the second kind. An estimate for the rate of convergence using the zeros of the Chebyshev polynomials of the second kind is given.
- Chebyshev polynomials of second kind
- Hermite-Fejér interpolation
- rate of convergence
ASJC Scopus subject areas
- Applied Mathematics