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Modified Steklov Functions and Numerical Differentiation Formulas

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We consider an approximation method based on Steklov functions of the first and second order. We obtain estimates for the norms in the space C of continuous periodic functions and clarify how they connect with numerical differentiation formulas.

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Authors and Affiliations

  1. St. Petersburg State University, 28, Universitetskii pr., St. Petersburg, 198504, Russia

    M. V. Babushkin, N. Yu. Dodonov & V. V. Zhuk

Authors
  1. M. V. Babushkin
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  2. N. Yu. Dodonov
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  3. V. V. Zhuk
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Correspondence to V. V. Zhuk.

Additional information

Translated from Problemy Matematicheskogo Analiza 94, 2018, pp. 21-34.

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Babushkin, M.V., Dodonov, N.Y. & Zhuk, V.V. Modified Steklov Functions and Numerical Differentiation Formulas. J Math Sci 235, 138–153 (2018). https://doi.org/10.1007/s10958-018-4064-x

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