Compensated convexity methods for approximations and interpolations of sampled functions in Euclidean spaces: theoretical foundations

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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...

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Bibliographic Details
Main Authors:	Zhang, Kewei, Crooks, Elaine, Orlando, Antonio
Format:	Article
Language:	English
Published:	Society for Industrial and Applied Mathematics 2016
Subjects:	interpolation approximation compensated convex transforms Lipschitz functions local-Lipschitz approximation Hausdorff stability error estimates
Online Access:	https://eprints.nottingham.ac.uk/40889/

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