Yu. N. Subbotin's method in the problem of extremal interpolation in the mean in the space \(L_p(\mathbb{R})\) with overlapping averaging intervals (Q6576788)

Given an \(n\)-th order linear differential operator \(\mathcal L_n\), the author considers sequences \(y = (y_m)_{m=-\infty}^\infty\) of function values of some function \(y\) on a uniform grid (subject to certain conditions) and discusses the question of computing the quantity \(\sup_y \inf_f \| \mathcal L_n f \|_{L_p(\mathbb R)} \) exactly or approximately with rigorous error estimates, where the function \(f\) may vary over a given set of functions.