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The best L 1-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes

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Abstract

For classes of periodic functions defined by constraints imposed on the L 1-norm of the result of action of differential operators with constant coefficients and real spectrum on these functions, we determine the exact values of the best L 1-approximations by generalized splines from the classes considered.

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Authors and Affiliations

  1. Dnepropetrovsk University, Dnepropetrovsk

    V. F. Babenko & Leis Azar

Authors
  1. V. F. Babenko
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  2. Leis Azar
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 11, pp. 1443–1451, November, 1998.

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Babenko, V.F., Azar, L. The best L 1-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes. Ukr Math J 50, 1649–1658 (1998). https://doi.org/10.1007/BF02524472

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  • DOI: https://doi.org/10.1007/BF02524472

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