Kolmogorov n-Widths of Function Classes Induced by a Non-Degenerate Differential Operator A Convex Duality Approach

Title:	Kolmogorov n-Widths of Function Classes Induced by a Non-Degenerate Differential Operator A Convex Duality Approach
Authors:	Combettes, P.L. Dũng, D.
Keywords:	Asymptotic order;Convex duality;Kolmogorov n-widths;Non-degenerate differential operator
Issue Date:	2016
Publisher:	Springer Netherlands
Citation:	Scopus
Abstract:	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 L2 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.
Description:	Set-Valued and Variational Analysis Volume 24, Issue 1, 1 March 2016, Pages 83-99
URI:	http://link.springer.com/article/10.1007%2Fs11228-015-0338-3 http://repository.vnu.edu.vn/handle/VNU_123/33118
ISSN:	09276947
Appears in Collections:	Bài báo của ĐHQGHN trong Scopus