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Problem of uniqueness of an element of the best nonsymmetric L 1-approximation of continuous functions with values in KB-spaces

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Ukrainian Mathematical Journal Aims and scope

We consider the problem of characterization of subspaces of uniqueness of an element of the best nonsymmetric L 1-approximation of functions that are continuous on a metric compact set of functions with values in a KB-space. We find classes of test functions that characterize the uniqueness of an element of the best nonsymmetric approximation.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian National Academy of Sciences, Donetsk, Ukraine

    V. F. Babenko

  2. Dnepropetrovsk University, Dnepropetrovsk, Ukraine

    V. F. Babenko & M. E. Tkachenko

Authors
  1. V. F. Babenko
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  2. M. E. Tkachenko
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 7, pp. 867–878, July, 2008.

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Babenko, V.F., Tkachenko, M.E. Problem of uniqueness of an element of the best nonsymmetric L 1-approximation of continuous functions with values in KB-spaces. Ukr Math J 60, 1013–1027 (2008). https://doi.org/10.1007/s11253-008-0109-5

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  • DOI: https://doi.org/10.1007/s11253-008-0109-5

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