The External Estimate of the Compact Set by Lebesgue Set of the Convex Function

The finite-dimensional problem of embedding a given compact D ⊂ R p into the lower Lebesgue set G(α) = {y ∈ R p : f(y) 6 α} of the convex function f(·) with the smallest value of α due to the offset of D is considered. Its mathematical formalization leads to the problem of minimizing the function φ(...

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Bibliographic Details
Main Authors: Abramova, Veronika V., Dudov , Sergey Ivanovitch, Osipcev, Mikhail Anatolievich
Format: Article
Language:English
Published: Saratov State University 2020-06-01
Series:Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
Subjects:
Online Access:https://mmi.sgu.ru/sites/mmi.sgu.ru/files/2020/05/142-153abramova_et_al.pdf