Skip to main content
Log in

Kolmogorov Widths of Weighted Sobolev Classes on an Interval with Conditions on the Zeroth and First Derivatives

  • Short Communications
  • Published:
Mathematical Notes Aims and scope Submit manuscript

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.

References

  1. R. Oinarov, J. London Math. Soc. (2) 48 (1), 103 (1993).

    Article  MathSciNet  Google Scholar 

  2. V. D. Stepanov and E. P. Ushakova, in Tr. Mat. Inst. Steklova, Vol. 232: Function Spaces, Harmonic Analysis, Differential Equations (Maik, Moscow, 2001), pp. 298-317 [Proc. Steklov Inst. Math. 232, 290-309 (2001)].

  3. R. Oinarov, Izv. Ross. Akad. Nauk Ser. Mat. 78 (4), 207 (2014) [Izv. Math. 78 (4), 863 (2014)].

    Article  MathSciNet  Google Scholar 

  4. V. D. Stepanov and E. P. Ushakova, Mat. Zametki 105 (1), 108 (2019) [Math. Notes 105 (1), 91 (2019)].

    Article  MathSciNet  Google Scholar 

  5. E. N. Lomakina and V. D. Stepanov, Mat. Trudy 9 (1), 52 (2006) [Siberian Adv. Math. 17 (1), 1 (2007)].

    MathSciNet  Google Scholar 

  6. D. E. Edmunds and J. Lang, Math. Nachr. 297 (7), 727 (2006).

    Article  Google Scholar 

  7. V. N. Konovalov and D. Leviatan, Anal. Math. 28 (4), 251 (2002).

    Article  MathSciNet  Google Scholar 

  8. J. Lang, J. Approx. Theory 121 (1), 61 (2003).

    Article  MathSciNet  Google Scholar 

  9. M. A. Lifshits and W. Linde, Approximation and Entropy Numbers of Volterra Operators with Applica tion to Brownian Motion, in Mem. Amer. Math. Soc. (Amer. Math. Soc., Providence, RI, 2002), Vol. 157, No. 745.

  10. H. Triebel, Interpolation Theory, Function Spaces, Differential Operators (Berlin: Birkhäuser, 1977; Mir, Moscow, 1980).

    MATH  Google Scholar 

  11. I. V. Boikov, Zh. Vychisl. Mat. i Mat. Fiz. 38 (1), 25 (1998) [Comput. Math. and Math. Phys. 38 (1), 21 (1998)].

    MathSciNet  Google Scholar 

  12. K. Mynbaev and M. Otelbaev, Weighted Function Spaces and Spectrum of Differential Operators (Nauka, Moscow, 1988) [in Russian].

    MATH  Google Scholar 

  13. V. M. Tikhomirov, Analysis - 2, in Itogi Nauki Tekh., Ser. Current Problems in Mathematics. Funda mental Directions (VINITI, Moscow, 1987), Vol. 14, pp. 103–260 [in Russian].

    Google Scholar 

Download references

Funding

This work was supported by the Russian Foundation for Basic Research under grant 19-01-00332.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Vasil’eva.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vasil’eva, A.A. Kolmogorov Widths of Weighted Sobolev Classes on an Interval with Conditions on the Zeroth and First Derivatives. Math Notes 107, 522–524 (2020). https://doi.org/10.1134/S0001434620030165

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434620030165

Keywords

Navigation