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Best Approximations of q-Ellipsoids in Spaces S p,μϕ

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Ukrainian Mathematical Journal Aims and scope

Abstract

We find exact values of the best approximations and basic widths of q-ellipsoids in the spaces S p,μϕ for q > p > 0.

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REFERENCES

  1. A. I. Stepanets and V. I. Rusakov, “Spaces S p with nonsymmetric metric,” Ukr. Mat. Zh., 55, No.2, 264–277 (2003).

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  2. A. I. Stepanets, Methods of Approximation Theory [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (2002).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, Ukraine

    A. I. Stepanets

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  1. A. I. Stepanets
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 10, pp. 1378 – 1383, October, 2004.

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Stepanets, A.I. Best Approximations of q-Ellipsoids in Spaces S p,μϕ . Ukr Math J 56, 1646–1652 (2004). https://doi.org/10.1007/s11253-005-0140-8

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  • DOI: https://doi.org/10.1007/s11253-005-0140-8

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