Chebyshev polynominals. Polynominal interpolation. Divided differences. Lebesgue constants. Hermite interpolation and Birkhoff interpolation. Bernstein polynominals. Uniform approximation of functions. Characterization of the best approximation. Uniqueness of the best approximation, Haar systems. Fekete points, Leja sequence and approximation of the Green function. Polynomial inequalities. Some extremal problems. Degree of approximation. Jackson and Bernstein theorems. Interpolation and approximation by splines.
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