2019
Том 71
№ 9

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BestL1-approximations of classes $W_1^r$ by Splines from $W_1^r$

Babenko V. F.

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Abstract

We obtain the exact values of the best $L_1$-approximations of the classes $W_1^r$ of periodic functions by periodic polynomial splines of degree $r$ and defect 1 with equidistant knots that belong to the class $W_1^r$.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 10, pp 1557-1560.

Citation Example: Babenko V. F. BestL1-approximations of classes $W_1^r$ by Splines from $W_1^r$ // Ukr. Mat. Zh. - 1994. - 46, № 10. - pp. 1410–1413.

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