On the asymptotics of polynomial interpolation to |x|a at the Chebyshev nodes

In this paper, we discuss asymptotic relations for the approximation of |x |α , α > 0 in L∞ [−1, 1] by Lagrange interpolation polynomials based on the zeros of the Chebyshev polynomials of first kind. c ⃝ 2012 Elsevier Inc. All rights reserved.