LAUSR

We study Hermite–Fejér interpolation operators in spaces of weighted maximum norm, whose nodes are the zeros of Jacobi polynomials with indexes $$\alpha , \beta >-1$$ α , β > - 1 . The approximation behaviour of those operators is presented by the so-called strong inequalities. Moreover, such strong inequalities are valid for any individual continuous function on $$[-1, 1]$$ [ - 1 , 1 ] . The obtained result covers also the saturation of these operators.