Asymptotic behavior of Müntz–Christoffel functions at the endpoints

We establish asymptotics for Christoffel functions of Müntz systems at the endpoints x = 0 and x = 1 of [ 0 , 1 ] , assuming that there exists a ρ > 0 , such that the Müntz exponents { λ k } satisfy lim k → ∞ λ k k = ρ .