Article

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

Abstract

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).

Topics

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

Identifiers

DOI: 10.1063/5.0199916

Citations and references

Cited by 023 references

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