2019
Том 71
№ 8

All Issues

On lower bounds for the approximation of individual functions by local splines with nonfixed nodes

Ligun A. A., Shumeiko A. A.

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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 defectkr/2 in the metric ofL p.

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 12, pp 1839-1849.

Citation Example: Ligun A. A., Shumeiko A. A. On lower bounds for the approximation of individual functions by local splines with nonfixed nodes // Ukr. Mat. Zh. - 1999. - 51, № 12. - pp. 1628–1637.

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