On an Optimal Quadrature Formula in a Hilbert Space of Periodic Functions
Algorithms, 2022 The present work is devoted to the construction of optimal quadrature formulas for the approximate calculation of the integrals ∫02πeiωxφ(x)dx in the Sobolev space H˜2m.
Kholmat Shadimetov +2 more
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Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 The paper is devoted to derivation of the optimal interpolation formula in W2(0,2)(0,1) Hilbert space by Sobolev’s method. Here the interpolation formula consists of a linear combination ΣNβ=0Cβφ(xβ) of the given values of a function φ from the space ...
Shadimetov, Kh.M. +2 more
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Functional measurement error in functional regression [PDF]
Canadian Journal of Statistics, 2020 AbstractMeasurement error is an important problem that has not been studied very well in the context of functional data analysis. To the best of our knowledge, there are no existing methods that address the presence of functional measurement errors in generalized functional linear models.
Sneha Jadhav, Shuangge Ma
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Linear barycentric rational collocation method for solving biharmonic equation
Demonstratio Mathematica, 2022 Two-dimensional biharmonic boundary-value problems are considered by the linear barycentric rational collocation method, and the unknown function is approximated by the barycentric rational polynomial.
Li Jin
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Task and Resting-State Functional Connectivity Predict Driving Violations
Brain Sciences, 2023 Aberrant driving behaviors cause accidents; however, there is a lack of understanding of the neural mechanisms underlying these behaviors. To address this issue, a task and resting-state functional connectivity was used to predict aberrant driving ...
Uijong Ju
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Some Remarks on a Variational Method for Stiff Differential Equations
Mathematics, 2019 We have recently proposed a variational framework for the approximation of systems of differential equations. We associated, in a natural way, with the original problem, a certain error functional. The discretization is based on standard descent schemes,
Sergio Amat +2 more
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Theoretical error performance analysis for variational quantum circuit based functional regression
npj Quantum Information, 2023 The noisy intermediate-scale quantum devices enable the implementation of the variational quantum circuit (VQC) for quantum neural networks (QNN).
Jun Qi +3 more
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Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space [PDF]
E3S Web of ConferencesThe development of effective methods of approximate calculation of integrals using optimal cubature formulas and optimal quadrature formulas with trigonometric weights for defined functions on a sphere, the creation of new algorithms for approximate ...
Bozarov Bakhromjon +5 more
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Optimal quadrature formulas in Sobolev space for solving the generalized Abel integral equation [PDF]
E3S Web of ConferencesIn this article, a composite optimal quadrature formula is constructed for an approximate analytical solution of the generalized integral Abel equation in the Sobolev functional space.
Daliyev Bakhtiyor +5 more
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Optimal quadrature formulas in the space W2(m,m−1) of periodic functions
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 This paper is devoted to the process of finding the upper bound for the absolute error of the optimal quadrature formula in the space W2(m,m−1) of real-valued, periodic functions. For this the extremal function of the quadrature formula is used.
Hayotov, A.R., Khayriev, U.N.
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