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Nonperiodic modulus of smoothness corresponding to the Riesz derivative

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References

  1. K. Runovski and H.-J. Schmeisser, On Modulus of Continuity Related to Riesz Derivative, Preprint, Jenaer Schriften fÜrMath. und Inf.Math/Inf/01/11 (2011).

    MATH  Google Scholar 

  2. S. Yu. Artamonov, Uch. Zap. V. N. Vernadskii TNU, Ser.Matem.Mekh. Inform. i Kibernet. 24 (63) (3), 10 (2011).

    Google Scholar 

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

    MathSciNet  Google Scholar 

  4. 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.

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

    MathSciNet  Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Article  MathSciNet  Google Scholar 

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

    MathSciNet  Google Scholar 

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

  11. H. Triebel, Theory of Function Spaces, in Mathematik und ihre Anwendungen in Physik und Technik (Akad. Verlag. Geest & Portig K.-G., Leipzig, 1983), vol. 38.

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

    MATH  Google Scholar 

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

    Google Scholar 

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

    Article  MathSciNet  Google Scholar 

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Correspondence to S. Yu. Artamonov.

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Original Russian Text © S. Yu. Artamonov, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 6, pp. 933–936.

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Artamonov, S.Y. Nonperiodic modulus of smoothness corresponding to the Riesz derivative. Math Notes 99, 928–931 (2016). https://doi.org/10.1134/S0001434616050321

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