Ukrainian Mathematical Journal

, Volume 20, Issue 5, pp 597–601 | Cite as

About a connection between the properties of a function on the circumference and its properties in the interior of the circle

  • Yu. I. Volkov
Brief Communications


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    G. H. Hardy and J. E. Littlewood, Some properties of fractional integrals II, M. Z.,34, 403–439 (1932).Google Scholar
  2. 2.
    A. Zygmund, Trigonometric Series [Russian translation], Vol. 1, Izd-vo Mir, Moscow (1965).Google Scholar
  3. 3.
    R. N. Koval'chuk, On moduli of continuity of functions defined in a closed circle, Tr. I. Resp. nauchn. konf. molodykh issledovatelei, Izd-vo Naukova Dumka, Kiev (1965).Google Scholar
  4. 4.
    J. L. Walsh and H. M. Elliot, Polynomial approximation to harmonic and analytic functions; generalized continuity conditions, Trans. Amer. Math. Soc.,68, 183–203 (1950).Google Scholar

Copyright information

© Consultants Bureau 1969

Authors and Affiliations

  • Yu. I. Volkov
    • 1
  1. 1.The Vinnica Affiliate of the Kiev Polytechnic InstituteUSSR

Personalised recommendations