Optimal interpolation with exponentially weighted polynomials on an unbounded interval (Q1187249)

This paper establishes that the set of functions spanned by monomials of the form \(e^{-at}t^ k\), for \(k=0,\dots,n\) and for \(0\leq t<\infty\), is a space for which the criteria of Bernstein and Erdős characterize optimal interpolation. It represents the first generalization of weighted polynomials and to an unbounded domain certain results on interpolation of optimal norm which hold for various range spaces defined on a closed and bounded interval.