Compression using Quasi-Interpolation
<|reference_start|>Compression using Quasi-Interpolation: 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.<|reference_end|>
@article{buhmann2024compression,
    title={Compression using Quasi-Interpolation},
    author={Martin Buhmann and Feng Dai},
    journal={Jaen Journal of Approximation 7 (2015), 203-230},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.05772},
    primaryClass={math.NA cs.NA}
}