Rate of Convergence of Hermite-Fej´er Polynomials for Functions with Derivatives of Bounded Variation
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Abstract
In this paper, the behavior of the Hermite-Fej´er interpolation for functions with derivatives of bounded variationon [−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.
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