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Uniform approximation of curvature for smooth classes of plane curves

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Abstract

We consider problems of approximating the curvature of plane curves from smooth classes by the curvature of elements of smooth finite-dimensional function spaces (trigonometric polynomials, splines with equidistant knots) in the uniform norm.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620990, Russia

    Yu. N. Subbotin

  2. Ural Federal University, Yekaterinburg, 620000, Russia

    Yu. N. Subbotin

Authors
  1. Yu. N. Subbotin
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Correspondence to Yu. N. Subbotin.

Additional information

Original Russian Text © Yu.N. Subbotin, 2015, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Vol. 21, No. 4.

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Subbotin, Y.N. Uniform approximation of curvature for smooth classes of plane curves. Proc. Steklov Inst. Math. 297 (Suppl 1), 182–185 (2017). https://doi.org/10.1134/S0081543817050194

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  • DOI: https://doi.org/10.1134/S0081543817050194

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