This project concerns the approximation properties of a given set where X is a scattered sequence and Ï•(x) = 1/x* ln(1 + x^2 ). Similar approximation sets are commonly used in interpolation problems and are especially helpful due to their Fourier representation. For our work, we will work to prove the following theorem.
Pierce, Kira, "Non-local approximation Properties" (2021). Fall Showcase for Research and Creative Inquiry. 154.