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

Authors

  • Doniyorov N. N. Asia International University, 74, Gijduvon str., Bukhara 200114, Uzbekistan

DOI:

https://doi.org/10.55640/

Keywords:

Approximation, interpolation, basis functions, fundamental splines, optimal interpolation formula, geometric curves, Sobolev method.

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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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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Published

2026-02-06

Issue

Vol. 5 No. 02 (2026): Journal of Multidisciplinary Sciences and Innovations

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors retain the copyright of their manuscripts, and all Open Access articles are disseminated under the terms of the Creative Commons Attribution License 4.0 (CC-BY), which licenses unrestricted use, distribution, and reproduction in any medium, provided that the original work is appropriately cited. The use of general descriptive names, trade names, trademarks, and so forth in this publication, even if not specifically identified, does not imply that these names are not protected by the relevant laws and regulations.

How to Cite

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/

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