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Construction of Approximation Functionals for Minimal Splines

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This paper presents formulas for constructing quadratic minimal splines, which explicitly depend on the components of a generating vector function. Formulas for various approximation functionals for minimal splines used as coefficients in local approximation methods are obtained. Examples of special cases of approximation schemes, known as quasi-interpolation, are provided. Results of numerical experiments on approximating a circular arc by minimal splines are considered.

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Authors and Affiliations

  1. St.Petersburg University, Universitetskaya nab., 7/9, 199034, St.Petersburg, Russia

    E. K. Kulikov & A. A. Makarov

Authors
  1. E. K. Kulikov
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  2. A. A. Makarov
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Correspondence to E. K. Kulikov or A. A. Makarov.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 504, 2021, pp. 136–156.

Translated by the authors.

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Kulikov, E.K., Makarov, A.A. Construction of Approximation Functionals for Minimal Splines. J Math Sci 262, 84–98 (2022). https://doi.org/10.1007/s10958-022-05801-3

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  • DOI: https://doi.org/10.1007/s10958-022-05801-3

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