Estimates for measures of symmetry for convex bodies
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Работа посвящена изучению введенных Мейером, Шюттом и Вернер мер симметрии для точек центра масс и центров эллипсоидов Джона и Левнера. Установлены верхние оценки для рассматриваемых мер симметрий и доказана асимптотическая точность этих оценок. Библ. – 14 назв. Сафроненко Е. В. Оценки мер симметрии выпуклых тел: магистерская дис.: защищена 01.06.2017 / Сафроненко Евгений Владимирович. - СПб., 2017.-25 с.
In 2011 Meyer, Schütt, and Werner introduced new type of measures of symmetry. This paper is devoted to measures of such type based on the centroid and the centers of the John ellipsoid and the Löwner ellipsoid. The author proves the accuracy of the derived a priori estimates for the considered measures of symmetry.
In 2011 Meyer, Schütt, and Werner introduced new type of measures of symmetry. This paper is devoted to measures of such type based on the centroid and the centers of the John ellipsoid and the Löwner ellipsoid. The author proves the accuracy of the derived a priori estimates for the considered measures of symmetry.