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BestL 1-approximations of classesW r1 by Splines fromW r1

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Ukrainian Mathematical Journal Aims and scope

Abstract

We obtain the exact values of the bestL 1-approximations of the classesW r1 of periodic functions by periodic polynomial splines of degreer and defect 1 with equidistant knots that belong to the classW r1 .

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References

  1. V. N. Konovalov, “Estimates of Kolmogorov widths for classes of differentiable periodic functions,”Mat. Zametki,35, No. 3, 369–380 (1984).

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Authors and Affiliations

  1. Dnepropetrovsk University, Dnepropetrovsk

    V. F. Babenko

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  1. V. F. Babenko
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 10, pp. 1410–1413, October, 1994.

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Babenko, V.F. BestL 1-approximations of classesW r1 by Splines fromW r1 . Ukr Math J 46, 1557–1560 (1994). https://doi.org/10.1007/BF01066101

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  • DOI: https://doi.org/10.1007/BF01066101

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