Optimization of approximate integrals of rapidly oscillating functions in the Hilbert space

In this work, we construct an optimal quadrature formula in the sense of Sard based on a functional approach for numerical calculation of integrals of rapidly oscillating functions. To solve this problem, we will use Sobolev’s method.To do this, we first solve the boundary value problem for an extre...

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Bibliographic Details
Main Authors: Abdullo Hayotov, Samandar Babaev, Abdimumin Kurbonnazarov
Format: Article
Language:English
Published: Elsevier 2025-05-01
Series:Results in Applied Mathematics
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Online Access:http://www.sciencedirect.com/science/article/pii/S2590037425000330
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