LOCAL LINEAR TRIGONOMETRIC FUNDAMENTAL SPLINES FOR APPROXIMATING SOME GEOMETRIC CURVES IN THE PLANE
Doniyorov N. N.Asia International University, 74, Gijduvon str., Bukhara 200114, Uzbekistan
Open MINDrepository2026
ABI
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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