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math.CA2014
Kolmogorov n-Widths of Function Classes Induced by a Non-Degenerate Differential Operator: A Convex Duality Approach
Patrick L. Combettes, Dinh Dũng
Let be the differential operator induced by a polynomial , and let be the class of multivariate periodic functions such that . The…
math.NA2014
Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in
Glenn Byrenheid, Dinh Dũng, Winfried Sickel +1
We investigate the rate of convergence of linear sampling numbers of the embedding . Here governs the mixed smoothness…