Approximation by interpolation: the Chebyshev nodes
Approximation by interpolation: the Chebyshev nodes
In this paper, we first revisit the well-known result stating that the Hermite interpolation polynomials of a function f continuous on [-1,1] , with the zeros of the Chebyshev polynomials of the first kind as nodes, converge uniformly to f on [-1,1] .Then we extend this result to obtain the …