Skip to main content
Log in

Direct Jackson-type estimate for the general modulus of smoothness in the nonperiodic case

  • 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. N. I. Akhiezer, Lectures in the Theory of Approximation (Nauka, Moscow, 1965) [in Russian].

    Google Scholar 

  2. Z. Burinska, K. Runovski, and H.-J. Schmeisser, Sampl. Theory Signal Image Process. 5(1), 59 (2006).

    MATH  MathSciNet  Google Scholar 

  3. Z. Burinska, K. Runovski, and H.-J. Schmeisser, Sampl. Theory Signal Image Process. 8(2), 105 (2009).

    MATH  MathSciNet  Google Scholar 

  4. P. L. Butzer, W. Splettstösser, and R. L. Stens, Jahresber. Deutsch. Math.-Verein. 90(1), 1 (1988).

    MATH  Google Scholar 

  5. H.-J. Schmeisser and W. Sickel, in Applied Mathematics Reviews (World Sci., Singapore, 2000), Vol. 1 pp. 205–284.

    Book  Google Scholar 

  6. A. F. Timan, Theory of Approximation of Functions of a Real Variable (Pergamon Press, Oxford, 1963; Fizmatlit, Moscow, 1960).

    MATH  Google Scholar 

  7. K. V. Runovskii, Mat. Zametki 95(6), 899 (2014) [Math. Notes 95 (5–6), 833 (2014)].

    Article  MathSciNet  Google Scholar 

  8. L. Hörmander, The Analysis of Linear Partial Differential Operators. I. Distribution Theory and Fourier Analysis, in Grundlehren Math. Wiss. (Springer-Verlag, Berlin, 1983), Vol. 256.

    MATH  Google Scholar 

  9. K. Runovski and H.-J. Schmeisser, Eurasian Math. J. 2(3), 98 (2011).

    MATH  MathSciNet  Google Scholar 

  10. R. A. DeVore and G. G. Lorentz, Constructive Approximation, in Grundlehren Math. Wiss. (Springer, Berlin, 1993), Vol. 303.

    MATH  Google Scholar 

  11. D. Jackson, Über die Genauigkeit der Annäherung stetiger Funktionen durch ganze rationale Funktionen gegebenen Grades und trigonometrische Summen gegebener Ordnung, Diss. (Göttingen, 1911).

    Google Scholar 

  12. S. B. Stechkin, Dokl. Akad. Nauk SSSR 65(2), 135 (1949).

    MATH  Google Scholar 

  13. S. B. Stechkin, Izv. Akad. Nauk SSSR Ser. Mat. 15(3), 219 (1951).

    MATH  Google Scholar 

  14. K. Runovski and H.-J. Schmeisser, On Modulus of Continuity Related to Riesz Derivative, Preprint (2011).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Yu. Artamonov.

Additional information

Original Russian Text © S. Yu. Artamonov, 2015, published in Matematicheskie Zametki, 2015, Vol. 97, No. 5, pp. 794–797.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Artamonov, S.Y. Direct Jackson-type estimate for the general modulus of smoothness in the nonperiodic case. Math Notes 97, 811–814 (2015). https://doi.org/10.1134/S0001434615050168

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434615050168

Keywords

Navigation