Using the best-approximation polynomial as the reference signal, the paper treats the residual as bounded noise in l1-minimization and derives L-infinity and L2 error bounds for sparse polynomial approximation of continuous functions.
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Estimation of sparse polynomial approximation error to continuous function
Using the best-approximation polynomial as the reference signal, the paper treats the residual as bounded noise in l1-minimization and derives L-infinity and L2 error bounds for sparse polynomial approximation of continuous functions.