On the choice of interpolation points in the space \(C(-\infty,\infty)\) (Q1902792)

In the paper minimal monic polynomials and the Lebesgue constant for interpolation in the zeros of the minimal polynomials have been investigated in the space \(C(-\infty, \infty)\) endowed with the norm \[ |F |: = \sup_{- \infty < x < \infty} \bigl |F(x) \bigr |e^{- x^2/2}. \] For polynomials of almost minimal deviation from zero, i.e. the minimality holds in order, explicit representations have been given, and for the Lebesgue constants upper and lower bounds have been proved. Both bounds are of the same order.