Skip to main content
Log in

Spaces S p with Nonsymmetric Metric

Ukrainian Mathematical Journal Aims and scope

Abstract

We determine exact values of the best approximations and Kolmogorov widths of q-ellipsoids in spaces \(S_\phi ^{p,{\mu}}\) defined by anisotropic metric.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. A. I. Stepanets, “Aproximation characteristics of spaces S ϕ P ,”: Ukr.Mat.Zh., 53, No. 3, 392–416 (2001).

    Google Scholar 

  2. A. I. Stepanets, “Approximation characteristics of the spaces S ϕ P in different metrics,” Ukr.Mat.Zh., 53, No. 8, 1121–1146 (2001).

    Google Scholar 

  3. A. I. Stepanets, Approximation Characteristics of Spaces S P in Russian], Preprint No. 2, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (2001).

  4. A. I. Stepanets, Methods of Appropriation Theory [in Russian], Vol. 1, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (2002).

  5. A. I. Stepanets and A. S. Serdyuk, “Direct and inverse theorems in the theory of approximation of functions in the space S P,” Ukr. Mat. Zh., 54, No. 1, 106–124 (2002).

    Google Scholar 

  6. A. Zygmund, Trigonometric Series [Russian translation], Vol. 2, Mir, Moscow (1965).

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stepanets, A.I., Rukasov, V.I. Spaces S p with Nonsymmetric Metric. Ukrainian Mathematical Journal 55, 322–338 (2003). https://doi.org/10.1023/A:1025472514408

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1025472514408

Keywords

Navigation