Bridging Bernstein and Lagrange polynomials
Amato, Umberto ; Della Vecchia, Biancamaria
Mathematical Communications, Volume 20 (2015) no. 1, p. 151-160 / Harvested from Mathematical Communications
Text on Mathematical Communications
Linear combinations of iterates of Bernstein polynomials exponentially converging to Lagrange interpolating polynomial are given. The results are applied in CAGD to get a faster weighted progressive iterative approximation technique to fit data with finer and finer precision.
Published online : 2015-11-08
Classification:  Bernstein polynomials, Lagrange interpolation, Hotelling's method, B\'ezier curves, weighted progressive iterative approximation,  41A25; 41A36 
@article{mc1150,
     author = {Amato, Umberto and Della Vecchia, Biancamaria},
     title = {Bridging Bernstein and Lagrange polynomials},
     journal = {Mathematical Communications},
     volume = {20},
     number = {1},
     year = {2015},
     pages = { 151-160},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc1150}
}

Amato, Umberto; Della Vecchia, Biancamaria. Bridging Bernstein and Lagrange polynomials. Mathematical Communications, Volume 20 (2015) no. 1, pp.  151-160. http://gdmltest.u-ga.fr/item/mc1150/