Статья

Construction of an optimal interpolation formula exact for trigonometric functions

A.R. HayotovBukhara State University, 11, M.Ikbol str., Bukhara 200114, UzbekistanNegmurod DoniyorovBukhara State University, 11, M.Ikbol str., Bukhara 200114, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Аннотация

In the present paper, we talk about construction of an optimal interpolation formula in a certain Hilbert space. We obtain the optimal interpolation formula applying the discrete analogue of the differential operator. Using the coefficients of the optimal interpolation formula we get two sets of basis functions. We show that the optimal interpolation formula and linear combinations of basis functions are exact for trigonometric functions sin(ωx) amd cos(ωx).

Темы

Advanced Numerical Analysis Techniques Mathematical functions and polynomials Iterative Methods for Nonlinear Equations

Идентификаторы

DOI: 10.1063/5.0199916

Цитирования и источники

Цитирований: 0Использованных источников: 23

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