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Construction of an optimal interpolation formula exact for trigonometric functions

A.R. HayotovNational University of Uzbekistan named after Mirzo Ulugbek, 4, University street, Tashkent 100174, UzbekistanNegmurod DoniyorovV.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 9, University street, Tashkent 100174, Uzbekistan

AIP conference proceedingsjournal2024en

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ABI

Annotatsiya

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).

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Mavzular

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

Identifikatorlar

DOI: 10.1063/5.0199916

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