Piecewise affine approximations for functions of bounded variation
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Publication:2634611
DOI10.1007/s00211-015-0721-xzbMath1336.41004arXiv1211.1792OpenAlexW1917606811MaRDI QIDQ2634611
Publication date: 17 February 2016
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.1792
bounded variation functionpiecewise affine functions\(W^{1,1}\)-Sobolev functionsarea-strictly convergence
Approximation by polynomials (41A10) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Functions of bounded variation, generalizations (26A45)
Related Items (5)
On the structure of \({\mathcal A}\)-free measures and applications ⋮ Signal approximations based on nonlinear and optimal piecewise affine functions ⋮ Approximation of BV by SBV functions in metric spaces ⋮ Density of polyhedral partitions ⋮ Approximation in Sobolev spaces by piecewise affine interpolation
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