2019
Том 71
№ 9

All Issues

On approximation of functions from below by splines of the best approximation with free nodes

Shumeiko A. A.

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Abstract

Let M be the set of functions integrable to the power β=(r+1+1/p)-1. We obtain asymptotically exact lower bounds for the approximation of individual functions from the set M by splines of the best approximation of degree rand defect k in the metric of L p.

English version (Springer): Ukrainian Mathematical Journal 52 (2000), no. 4, pp 586-599.

Citation Example: Shumeiko A. A. On approximation of functions from below by splines of the best approximation with free nodes // Ukr. Mat. Zh. - 2000. - 52, № 4. - pp. 512-523.

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