Sampling inequalities for sparse grids

Author:

Rieger Christian,Wendland Holger

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference25 articles.

1. Adams, R.A., Fournier, J.J.F.: Sobolev Spaces, 2nd edn. Academic Press, Amsterdam (2003)

2. Arcangéli, R., de Silanes, M.C.L., Torrens, J.J.: An extension of a bound for functions in Sobolev spaces, with applications to $$(m, s)$$ ( m , s ) -spline interpolation and smoothing. Numer. Math. 107, 181–211 (2007)

3. Barthelmann, V., Novak, E., Ritter, K.: High dimensional polynomial interpolation on sparse grids. Adv. Comput. Math. 12, 273–288 (2000)

4. Bungartz, H.J., Griebel, M.: Sparse grids. In: Iserles, A. (ed.) Acta Numerica, vol. 13, pp. 1–123. Cambridge University Press, Cambridge (2004)

5. Byrenheid, G., Dung, D., Sickel, W., Ullrich, T.: Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in $${H}$$ H . ArXiv e-prints (2014). arXiv:1408.3498 [math.NA]

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