Pointwise simultaneous convergence of extended Lagrange interpolation with additional knots

Giuliana Criscuolo, Giuseppe Mastroianni, P{éter V{értesi
1992 Mathematics of Computation  
In numerical analysis it is important to construct interpolating polynomials approximating a given function and its derivatives simultaneously. The authors define some new good interpolating matrices with "many" nodes close to the endpoints of the interval and also give error estimates.
doi:10.1090/s0025-5718-1992-1134723-x fatcat:p4xwdxyom5esnecnut4grecx4y