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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.

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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.

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https://repository.vnu.edu.vn/handle/VNU_123/11121