Abstract
For functions with the integrable βth power, where β = (r + 1 + 1/p)−1, we obtain asymptotically exact lower bounds for the approximation by local splines of degreer and defectk ≥r/2 in the metric ofL p.
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References
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 12, pp. 1628–1637, December, 1999.
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Ligun, A.A., Shumeiko, A.A. On lower bounds for the approximation of individual functions by local splines with nonfixed nodes. Ukr Math J 51, 1839–1849 (1999). https://doi.org/10.1007/BF02525141
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DOI: https://doi.org/10.1007/BF02525141