Article

System for finding the optimal coefficients of an interpolation spline

Kholmat ShadimetovTashkent State Transport University, 1, Odilkhodjayev str., Tashkent 100167, UzbekistanA.K. BoltaevNational University of Uzbekistan named after Mirzo Ulugbek, 4, University street, Tashkent 100174, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

There are algebraic and variational approaches of construction in the spline theory. In algebraic approach splines are considered as some smooth piecewise polynomial functions. In the variational approach splines are elements of Hilbert or Banach spaces minimizing certain functionals. Then we study the problems of existence, uniqueness, and convergence of splines and algorithms for constructing them based on their own properties of splines. In this paper, we study the problem of constructing of interpolation spline in a Hilbert space. Here, we obtained a system of linear algebraic equations for the coefficients of the interpolation spline.

Topics

Advanced Numerical Analysis Techniques Advanced Theoretical and Applied Studies in Material Sciences and Geometry Advanced Computational Techniques in Science and Engineering

Identifiers

DOI: 10.1063/5.0199834

Citations and references

Cited by 2 27 references

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