Kolmogorov n-Widths of Function Classes Induced by a Non-Degenerate Differential Operator: A Convex Duality Approach / Patrick L. Combettes, Dinh Dũng
Tác giả : Patrick L. Combettes, Dinh Dũng
Nhà xuất bản : Set-Valued and Variational Analysis
Năm xuất bản : 2015
Chủ đề : 1. Asymptotic order, Kolmogorov n-widths, Non-degenerate differential operator, Convex duality. 2. Dataset.
Thông tin chi tiết
Tóm tắt : | The problem of computing the asymptotic order of the Kolmogorov n-width of the unit ball of the space of multivariate periodic functions induced by a differential operator associated with a polynomial in the general case when the ball is compactly embedded into L 2 has been open for a long time. In the present paper, we use convex analytical tools to solve it in the case when the differential operator is non-degenerate. |
Thông tin dữ liệu nguồn
Thư viện | Ký hiệu xếp giá | Dữ liệu nguồn |
---|---|---|
Viện Công nghệ Thông tin - ĐHQGHN |
|
https://repository.vnu.edu.vn/handle/VNU_123/11121 |