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On polynomials of best approximation - MaRDI portal

On polynomials of best approximation (Q942087)

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scientific article; zbMATH DE number 5319871
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On polynomials of best approximation
scientific article; zbMATH DE number 5319871

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    On polynomials of best approximation (English)
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    3 September 2008
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    The author studies the set of homogeneous algebraic polynomials in \(n\) variables of least deviation from zero in the space of continuous functions defined on the ball from \(\mathbb R^n, n\geq 2\). He estimates its width and dimension. In the author's opinion, the upper bounds obtained for dimension are rough.
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    algebraic polynomials
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    trigonometric polynomials
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    Bézout theorem
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