A uniform bound for the Lagrange polynomials of Leja points for the unit disk

A sharp bound on the Lebesgue constant for Leja points in the unit disk

“…In the same direction, Irigoyen [5] showed that there is a uniform bound for the fundamental Lagrange interpolation polynomials, namely :…”

On Lagrange polynomials and the rate of approximation of planar sets by polynomial Julia sets

“…It follows from Corollary 5.3 (with the notations taken from there) that Γ(E, K(P n )) ≤ s n . Moreover, in this case s n = O( log n n ), since ||Q n || E ≤ Λ n (E) and one has Λ n (E) = O(n 1+2β/ log 2 ) with β > 0 depending only on E by [Ir,Theorem 1.3].…”

Multidimensional intertwining Leja sequences and applications in bidimensional Lagrange interpolation

“…In addition, P is the multivariate Lagrange polynomial As an application, it follows that these polynomials l (N ) Hn 's are indeed the required FLIPs associated with P N and Ω N (since Ω N is unisolvent for P N ) and this completes the proof of Proposition 4. We also remind [10,Theorem 1.3] that gives an estimate of the FLIPs for compact sets whose boundary is an Alper-smooth Jordan curve. Now we deal with another application of Theorem 2 that is Corollary 3.…”

“…. , N − 1 (see [10,Theorem 1.2]). An immediate consequence is an estimate as O(N ) of the Lebesgue constant Λ N D , N ≥ 1, of any N -Leja section for the unit disk.…”