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Uniform Approximation of Curvature of Smooth Planar Curves

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Abstract

We estimate the error of curvature approximation for graphs of functions of the class Wr for r ≥ 3 in the uniform metric.

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References

  1. Yu. N. Subbotin, “Curvature approximation for smooth classes of plane curves by elements of finite-dimensional subspaces,” Izv. Tul’sk. Gos. Univ., Ser. Estestv. Nauki, No. 3, 41–47 (2012).

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  2. N. P. Korneichuk, Exact Constants in Approximation Theory (Nauka, Moscow, 1987; Cambridge Univ. Press, Cambridge, 1991).

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  3. N. I. Akhiezer, Lectures on Approximation Theory (Gostekhizdat, Moscow, 1947) [in Russian].

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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. Steklov Mathematical Institute, Moscow, 119991, Russia

    S. A. Telyakovskii

Authors
  1. Yu. N. Subbotin
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  2. S. A. Telyakovskii
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Corresponding author

Correspondence to Yu. N. Subbotin.

Additional information

Original Russian Text © Yu.N. Subbotin, S.A. Telyakovskii, 2016, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Vol. 22, No. 4, pp. 254–256.

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Subbotin, Y.N., Telyakovskii, S.A. Uniform Approximation of Curvature of Smooth Planar Curves. Proc. Steklov Inst. Math. 300 (Suppl 1), 184–186 (2018). https://doi.org/10.1134/S0081543818020189

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  • DOI: https://doi.org/10.1134/S0081543818020189

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