Optimal quadrature formulas for computing of Fourier integrals in a Hilbert space

A. R. Hayotov, S. S. Babaev

In the present paper the optimal quadrature formulas in the sense of Sard are constructed for numerical integration of the integral ${\int }_a^b{e}^{2\pi i\omega x}\phi (x)dx$ with $ω\in \mathbb{R…