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On Functionals Dual to Minimal Splines

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The paper considers minimal splines of Lagrange type of lower orders, and a system of functionals biorthogonal to the system of minimal coordinate splines is constructed. The results obtained are illustrated with an example of a polynomial generating vector function, which leads to the construction of B-splines from the approximation relations. Bibliography: 16 titles.

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Authors and Affiliations

  1. St.Petersburg State University, St.Petersburg, Russia

    A. A. Makarov

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  1. A. A. Makarov
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Correspondence to A. A. Makarov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 453, 2016, pp. 198–218.

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Makarov, A.A. On Functionals Dual to Minimal Splines. J Math Sci 224, 942–955 (2017). https://doi.org/10.1007/s10958-017-3464-7

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  • DOI: https://doi.org/10.1007/s10958-017-3464-7

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