Compensated convexity methods for approximations and interpolations of sampled functions in Euclidean spaces: theoretical foundations
We introduce Lipschitz continuous and C¹,¹ geometric approximation and interpolation methods for sampled bounded uniformly continuous functions over compact sets and over complements of bounded open sets in Rn by using compensated convex transforms. Error estimates are provided for the approximation...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Society for Industrial and Applied Mathematics
2016
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| Online Access: | http://eprints.nottingham.ac.uk/40889/ http://eprints.nottingham.ac.uk/40889/ http://eprints.nottingham.ac.uk/40889/ http://eprints.nottingham.ac.uk/40889/1/ZOC-M104567.pdf |