Hermite Interpolation With Dickson Polynomials and Bernstein Basis Polynomials
Erdal İMAMOĞLU
Abstract:In this manuscript we introduce three new algorithms: (1) An algorithm to recover an unknown polynomial in terms of Dickson polynomials of the first kind, (2) an algorithm to recover an unknown polynomial in terms Dickson polynomials of the second kind, (3) an algorithm to recover an unknown polynomial in terms of Bernstein basis polynomials, from given black boxes for the polynomial itself and its first derivative. In each algorithm, we assume that the unknown polynomial has a sparse representation in the cor… Show more
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