Regularity of \((0,2)\)-interpolation on the zeros of the Laščenov polynomials (Q2732410)

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scientific article; zbMATH DE number 1623654
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Regularity of \((0,2)\)-interpolation on the zeros of the Laščenov polynomials
scientific article; zbMATH DE number 1623654

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    9 October 2001
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    Birkhoff interpolation
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    zeros of the Lascenov polynomials
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    Regularity of \((0,2)\)-interpolation on the zeros of the Laščenov polynomials (English)
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    \textit{T. Hermann} [Acta Math. Hung. 48, 47-51 (1986; Zbl 0625.41001)] studied the problem of \((0,2)\) interpolation on the zeros of the Lascenov polynomials [see also \textit{A. M. Chak, A. Sharma} and \textit{J. Szabados}, Stud. Sci. Math. Hung. 15, 441-455 (1980; Zbl 0532.41002)]. The author investigates the necessary and sufficient condition for the regularity of the \((0,2)\) interpolation problem at the zeros of Lascenov polynomials. The author also gives the explicit representation of the fundamental polynomial when the \((0,2)\) problem is regular.
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