On the saturation theorem for the Cesaro means of Fourier series

  • H. Berens
Article

Keywords

Fourier Series Saturation Theorem Cesaro Means 

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References

  1. [1]
    G. Alexits, Sur l'ordre de grandeur de l'approximation d'une fonction par les moyennes de sa série de Fourier,Mat. és Fizikai Lapok,48 (1941), pp. 410–433.Google Scholar
  2. [2]
    V. A. Andrienko, Approximation of functions by Fejér means,Siberian Math. J. 9 (1968), pp. 1–8.Google Scholar
  3. [3]
    P. L. Butzer andH. Berens,Semi-groups of operators and approximation (Berlin, 1967).Google Scholar
  4. [4]
    P. L. Butzer andE. Gőrlich, Saturationsklassen und asymptotische Eigenschaften trigonometrischer singulärer Integrale. InFestschr. Gedächnisfeier K. Weierstrass (Cologne, 1966).Google Scholar
  5. [5]
    P. L. Butzer andS. Pawelke, Ableitungen von trigonometrischen Approximationsprozessen,Acta Sci. Math. Szeged,28 (1967), pp. 173–183.Google Scholar
  6. [6]
    G. Sunouchi, Saturation in the theory of best approximation. InOn Approximation Theory, Proceedings of a Conference, edited by P. L. Butzer and J. Korevaar (Basel, 1964).Google Scholar
  7. [7]
    F. Wolf, Contributions to a theory of summability of trigonometric integrals,Univ. Calif. Publ. Math.,1 (1947), pp. 159–228.Google Scholar
  8. [8]
    A. Zygmund,Trigonometric series. Vol. I. (Cambridge, 1959).Google Scholar

Copyright information

© Akadémiai Kiadó 1970

Authors and Affiliations

  • H. Berens
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaSanta BarbaraUSA

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