47623

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

On polyhedral approximations in n-dimensional space

ISBN/ISSN: 

0965-5425

DOI: 

10.1134/S0965542516100031

Наименование источника: 

  • Computational Mathematics and Mathematical Physics

Обозначение и номер тома: 

Vol. 56, No. 10

Город: 

  • Москва

Издательство: 

  • Pleiadis publishing, Ltd.

Год издания: 

2016

Страницы: 

1679-1685
Аннотация
The polyhedral approximation of a positively homogeneous (and, in general, nonconvex) function on a unit sphere is investigated. Such a function is presupporting (i.e., its convex hull is the supporting function) for a convex compact subset of R^n. The considered polyhedral approximation of this function provides a polyhedral approximation of this convex compact set. The best possible estimate for the error of the considered approximation is obtained in terms of the modulus of uniform continuous subdifferentiability in the class of a priori grids of given step in the Hausdorff metric.

Библиографическая ссылка: 

Балашов М.В. On polyhedral approximations in n-dimensional space // Computational Mathematics and Mathematical Physics. 2016. Vol. 56, No. 10. С. 1679-1685.