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On multivariate polynomialL 2-approximation to zero

О многочленах от неск ольких переменных, на именее уклоняющихся от нуля вL 1

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Abstract

Известно, что одномер ные нормированные мн огочлены Лежандра являются мн ого-членами, наименее уклоняющим ися от нуля на [−1,1] в метр икеL 2. Работа посвящена обо б-щению этого свойства на мно гомерный случай. Уста новлены точные оценки Для отд ельно взятых старших коэфф ициентов многочлена от нескольких переменн ых, а также для сумм этих коэффициентов.

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  1. Abteilung Mathematik, Universität Dortmund, Postfach 500 500, D-4600, Dortmund 50, Federal Republic of Germany

    H. -J. Rack

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  1. H. -J. Rack
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Rack, H.J. On multivariate polynomialL 2-approximation to zero. Analysis Mathematica 10, 241–247 (1984). https://doi.org/10.1007/BF01917637

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  • DOI: https://doi.org/10.1007/BF01917637

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