摘要
The f(x)∈C is given , a modification is given to the interpolation polynomial Q n(f;x) (the power less than λ n,1<λ<2) with the zeros of the First Kind Chebyshev polynomial as its interpolation nodes constructed by Bernstein, and a method is presented to make it have uniform convergence to f(x) with the optimum convergent order on .
The f(x)∈C is given , a modification is given to the interpolation polynomial Q n(f;x) (the power less than λ n,1<λ<2) with the zeros of the First Kind Chebyshev polynomial as its interpolation nodes constructed by Bernstein, and a method is presented to make it have uniform convergence to f(x) with the optimum convergent order on .
