On Generalized Hermite–Fejér Interpolation of Lagrange Type on the Chebyshev Nodes

Pointwise estimates for Lagrange interpolation polynomials

“…In order to characterize the interpolation property of L n (f, T n ) the authors of [1] improved (1.1). Their result is (see [1]):…”

Approximation properties of lagrange interpolation polynomial based on the zeros of (1 −x 2 cosnarccosx

“…In [5], Li considered the same system U and the subset 1] and if there is a partition (1.8) such that f (x) is analytic on each [a j+1 , a j ], j = 0, 1, · · · , s, and has an analytic continuation to [−1, 1]. He…”

“…and the O(1) term depends only on r. 1] and if there is a partition (1.8) such that f (x) has r + k continuous derivatives on each [a j+1 , a j ], j = 0, 1, · · · , s, and f (r+k) (x) is a Dini-smooth function on each [a j+1 , a j ], j = 0, 1, · · · , s, that is,…”