Weighted (0,2)-interpolation on the roots of Jacobi polynomials

Hermite-Fejér and Grünwald interpolation at generalized Laguerre zeros

“…for some τ > 0. Finally, by (8) Using (18) and (20), we deduce that |v k (x)| satisfies the same bound of |v k (x)| (see (21)), i.e.…”

“…The Hermite-Fejér and Grünwald operators based at Jacobi zeros have been extensively studied. We recall among the others [1,2,4,8,16,18]. By contrast, in particular the Grünwald operator based at the zeros of orthonormal polynomials w.r.t.…”

An analysis of (0,1;0) interpolation based on the zeros of ultraspherical polynomials

“…In 1979, J.S.Hwang [6] studied the Turan's problem of (0,2) interpolation on the zeros of Jacobi polynomials. Later, A.M.Chak and J.Szabados [1] introduced the similar problem of (0,2) interpolation on the zeros of Laguerre polynomials L Further, in (1995) I.Joo and L.Sizli [5] studied the problem in the case when the fundamental points are the roots of Jacobi polynomials and considered the weight function w(x)=(1 − x) 1]; α, β > −1). K.K.…”

Pal Interpolation of Integral Types

“…In last forty years, various extensions of Pál interpolation have been made [1,2,3,4,5,6,7,8,9,10]. In this paper, we consider Pál interpolation of integral types.…”