Kragujevac J. Math. 24 (2002) 85-94.
Radu T. Trimbitas
Faculty of Mathematics and Computer Science, "Babe s-Bolyai" University, Cluj-Napoca, Romania
(Received July 15, 2002)
Abstract. In this paper we study the univariate Shepard-Lagrange interpolation operator
where (yn,k) are the interpolation nodes and (Lmf)(x;yn,k) is the Lagrange interpolation polynomial with nodes yn,k,yn,k+1,¼,yn,k+m. Then we give error estimations for various distribution of interpolation nodes.