On the zero-divergence of equidistant Lagrange interpolation (Q1596339)

It is known [cf. \textit{T. M. Mills} and \textit{S. J. Smith} [J. Aust. Math. Soc., Ser. A 52, No. 1, 111-118 (1992; Zbl 0748.41001)] that the Lebesgue function associated with equidistant Lagrange polynomial interpolation grows logarithmically at 0. The author gives an explicit construction of a function continuous on \([-1,1]\) whose equidistant Lagrange interpolation diverges at 0, and the rate of divergence is close to the possible maximal one.