Ukrainian Mathematical Journal

, Volume 22, Issue 2, pp 161–172 | Cite as

On the problem of uniformly approximate replacement of a curved arc by circular arcs

  • E. Ya. Remez
  • S. S. Levin


Approximate Replacement 
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Literature cited

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    E. Ya. Remez, General Numerical Methods of Chetayshev Approximation [in Russian], Izd-vo Akad Nauk UkrSSR, Kiev (1957).Google Scholar
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    S. S. Levin, “Representing the profile of a cutting instrument by circular arcs,” Stanki i Instrument, No. 4, 38–39 (1962).Google Scholar
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    S. N. Bernshtein, Extremal Properties of Polynomials [in Russian], ONTI (1937).Google Scholar
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    E. Ya. Remez, “On the method of successive Chebyshev iterations,” Ukrain. Matem. Zh.,12, No. 2, 170–180 (1960).Google Scholar
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    A. Zygmund, Trigonometrical Series, Dover, New Jersey (1955).Google Scholar
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    J. Hadamard, Elementary Geometry [Russian translation], Gosuchpedizdat, Moscow (1948).Google Scholar
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    T. Motzkin, “Approximation by curves of a unisolvent family,” Bull. Amer. Math. Soc.,55, No. 8, 789–793 (1949).Google Scholar
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    M. I. Morozov, “On some questions of uniform approximation,” Izv. Akad. Nauk SSSR,16, No. 1, 75–100 (1952).Google Scholar
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    I. A. Fraifel'd, “Instruments operating by a running-in method,” Mashgiz (1948).Google Scholar

Copyright information

© Consultants Bureau 1970

Authors and Affiliations

  • E. Ya. Remez
    • 1
  • S. S. Levin
    • 1
  1. 1.Institute of MathematicsAcademy of Sciences of the Ukrainian SSRUSSR

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