A. R. Hayotov, S. S. Babaev
Published 2021-02-15Version 1
In the present paper the optimal quadrature formulas in the sense of Sard are constructed for numerical integration of the integral $\int_a^b e^{2\pi i\omega x}\varphi(x)d x$ with $\omega\in \mathbb{R}$ in the Hilbert space $W_2^{(2,1)}[a,b]$ of complex-valued functions. Furthermore, the explicit expressions for coefficients of the constructed optimal quadrature formulas are obtained. At the end of the paper some numerical results are presented.
Comments: arXiv admin note: substantial text overlap with arXiv:2001.02636
Journal: Problems of Computational and Applied Mathematics, 2020
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