Compression using Quasi-Interpolation
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917714903171072 |
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| author | Buhmann, Martin Dai, Feng |
| author_facet | Buhmann, Martin Dai, Feng |
| contents | We consider quasi-interpolation with a main application in radial basis function approximations and compression in this article. Constructing and using these quasi-interpolants, we consider wavelet and compression-type approximations from their linear spaces and provide convergence estimates. The results include an error estimate for nonlinear approximation by quasi-interpolation, results about compression in the space of continuous functions and a pointwise convergence estimate for approximands of low smoothness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05772 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Compression using Quasi-Interpolation Buhmann, Martin Dai, Feng Numerical Analysis 41A15, 41A30, 65D15, 41A05, 65D05 We consider quasi-interpolation with a main application in radial basis function approximations and compression in this article. Constructing and using these quasi-interpolants, we consider wavelet and compression-type approximations from their linear spaces and provide convergence estimates. The results include an error estimate for nonlinear approximation by quasi-interpolation, results about compression in the space of continuous functions and a pointwise convergence estimate for approximands of low smoothness. |
| title | Compression using Quasi-Interpolation |
| topic | Numerical Analysis 41A15, 41A30, 65D15, 41A05, 65D05 |
| url | https://arxiv.org/abs/2407.05772 |