Optimal quadrature formulas for non-periodic functions in Sobolev space and its application to CT image reconstruction

Abdullo R. Hayotov, Soomin Jeon, Chang-Ock Lee +1

In the present paper, 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 $\omega \in \mathbb{R}$ i…