Markov's type theorems for approximation of radial functions in the integral metric (Q1311165)

Following the earlier study ``Theorems of Markov's type for approximation with respect to integral metric with power weight'' appeared in Sov. Math. 34, No. 1, 9-18 (1990); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1990, No. 1(332), 9-18 (1990; Zbl 0721.41049). The author continued the investigation of the function \(h_ N\) and obtained a differential equation for \(f(t)= t^ N h_ N(t)\) and extrapolation formulas for entire functions of exponential type with the point of interpolation (nodes) at the zeros of \(h_ N\).