LOCAL LINEAR TRIGONOMETRIC FUNDAMENTAL SPLINES FOR APPROXIMATING SOME GEOMETRIC CURVES IN THE PLANE

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Doniyorov N. N.

Abstract

 In this work, new local trigonometric fundamental splines are constructed for the integration of some geometric curves on a plane. In this case, we use the coefficients of the trigonometric optimal interpolation formula, constructed using the Sobolev method in a known Hilbert space of differentiable functions. In addition, we will present and prove the theorem expressing their main property.

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LOCAL LINEAR TRIGONOMETRIC FUNDAMENTAL SPLINES FOR APPROXIMATING SOME GEOMETRIC CURVES IN THE PLANE. (2026). Journal of Multidisciplinary Sciences and Innovations, 5(02), 517-519. https://doi.org/10.55640/

References

1.Hayotov A. R., Doniyorov N. N. Construction of an optimal interpolation Formula Exact for trigonometric functions. Modern problems of applied mathematics and information technology, AIP Conference Proceedings, 2024. Vol.300. Pp.06051-1-06051-11, https://doi.org/10.1063/5.0199916.

2.Завьялов Ю. С., Квасов Б. И., Мирошниченко В. Л. Методы сплайн-функций. М., Наука, 1980. -352 с.

3.Zhilin Li, Zhonghua Qiao, Tao Tang. Numerical Solution of Differential Equations. Cambridge University Press, 2018.

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