Chebyshev Spaces of Polynomials
Copyright policy )Chebyshev Spaces of Polynomials
Spaces of polynomials of degrees $ \leqq n - 1$ which satisfy $r < n$ interpolatory conditions of the form $p^{(j)} (\xi _i ) = 0$ are discussed. Necessary and sufficient conditions for such spaces to be Chebyshev spaces are given.
Best approximation, Chebyshev systems, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Approximation by polynomials, Banach algebras of continuous functions, function algebras, Interpolation in approximation theory
Best approximation, Chebyshev systems, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Approximation by polynomials, Banach algebras of continuous functions, function algebras, Interpolation in approximation theory
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