On Hermite-Fejér type interpolation
On Hermite-Fejér type interpolation
For the Hermite-Fejér interpolation operator of higher order constructed on the roots , 1 ≤ k ≤ m , of the Jacobi-polynomial it is shown that is positive for all m ∈ N , if (α, β) ∈ [−¾, −¼] 2 . Further there is given an bound, which implies …