Some extremal problems for algebraic polynomials in loaded spaces (Q847882)

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scientific article; zbMATH DE number 5673450
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Some extremal problems for algebraic polynomials in loaded spaces
scientific article; zbMATH DE number 5673450

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    Some extremal problems for algebraic polynomials in loaded spaces (English)
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    19 February 2010
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    In [\textit{T. H. Koornwinder}, Can. Math. Bull. 27, 205--214 (1984; Zbl 0507.33005)] generalized Jacobi polynomials with respect to a Sobolev type inner product were introduced. Here the author computes their norm in a related space using this result that Zolotarev type extremal problems are solved in this space.
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    Zolotarev extremal problem
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    Sobolev inner product
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    Jacobi polynomials
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