Abstract
For functions integrable to the power \(\beta = (r + 1 + 1/p)^{ - 1} \), we obtain asymptotically exact lower bounds for the approximation by local splines of degree r and defect k< r/2 in the metric of L p
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Shumeiko, A.A. On lower bounds for the approximation of functions by local splines with nonfixed nodes. Ukr Math J 52, 148–160 (2000). https://doi.org/10.1007/BF02514143
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DOI: https://doi.org/10.1007/BF02514143