Algorithms and error bounds for multivariate piecewise constant approximation
Davydov, Oleg; Georgoulis, Emmanuil H and Iske, Armin and Levesley, Jeremy, eds. (2011) Algorithms and error bounds for multivariate piecewise constant approximation. In: Approximation Algorithms for Complex Systems. Springer-Verlag, GBR, pp. 27-45. ISBN 9783642168758
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Official URL: https://doi.org/10.1007/978-3-642-16876-5_2
Abstract
We review the surprisingly rich theory of approximation of functions of many vari- ables by piecewise constants. This covers for example the Sobolev-Poincar´e inequalities, parts of the theory of nonlinear approximation, Haar wavelets and tree approximation, as well as recent results about approximation orders achievable on anisotropic partitions.
Creators(s): | Davydov, Oleg; Georgoulis, Emmanuil H, Iske, Armin and Levesley, Jeremy | Item type: | Book Section |
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ID code: | 32809 |
Keywords: | variables , piecewise constants, algorithms, Sobolev-Poincaré inequalities, Haar wavelets , tree approximation, Probabilities. Mathematical statistics |
Subjects: | Science > Mathematics > Probabilities. Mathematical statistics |
Department: | Faculty of Science > Mathematics and Statistics |
Depositing user: | Pure Administrator |
Date deposited: | 25 Aug 2011 11:06 |
Last modified: | 29 Jan 2021 04:11 |
URI: | https://strathprints.strath.ac.uk/id/eprint/32809 |
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