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An Interpolatory Rational Approximation

An Interpolatory Rational Approximation

The classical Hermite-Fejér interpolation process is a positive linear mapping from C[-1, 1] into the space of polynomials of degree ≤2n-1. If T n (x) denotes the Tchebisheff polynomial of degree n and x k = x nk (k = 1,2, …, n) its roots, then for any given f∈ …