Article

Interpolation splines minimizing semi-norm in S2(P2) space

Kholmat ShadimetovTashkent State Transport University, Temiryo‘lchilar street, 1, Tashkent 100167, UzbekistanSiroj AzamovTashkent State Transport University, Temiryo‘lchilar street, 1, Tashkent 100167, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

This paper studies interpolation splines minimizing the semi-norm in S2(P2) space. Here explicit formulas for co-efficients of interpolation splines are obtained. The obtained interpolation spline is exact for the functions e−x and xe−x. For some functions, the experimental results in the cases N = 5 and N = 10 are shown.

Topics

Advanced Numerical Analysis Techniques Iterative Methods for Nonlinear Equations Image and Signal Denoising Methods

Identifiers

DOI: 10.1063/5.0200119

Citations and references

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