Journal of Mathematical Sciences

, Volume 208, Issue 6, pp 648–654 | Cite as

Approximate Properties of the Cesàro Means of Conjugate Trigonometric Fourier Series

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Abstract

Some approximate properties of the Cesàro means of conjugate trigonometric Fourier series are studied.

Keywords

Conjugate Function Approximate Property Complete Variation Present Paper Study Trigonometric Fourier Series 
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References

  1. 1.
    N. K. Bari and S. B. Stechkin, “Best approximations and differential properties of two conjugate functions,” Tr. Mosk. Mat. Obshch., 5, 483–522 (1956).MATHGoogle Scholar
  2. 2.
    T. M. Flett, “On the degree of approximation to a function by the Cesàro means of its Fourier series,” Q. J. Math. Oxford Ser. (2), 7, 81–95 (1956).MathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    D. Makharadze, “Some local approximation properties of the Cesàro means of trigonometric Fourier series,” Proc. A. Razmadze Math. Inst., 151, 55–68 (2009).MathSciNetMATHGoogle Scholar
  4. 4.
    A. Zygmund, Trigonometric Series, Vols. 1, 2, Cambridge Univ. Press, Cambridge (1959).Google Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Shota Rustaveli Batumi State UniversityBatumiGeorgia

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