International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 1, Pages 19-25
doi:10.1155/S0161171294000037

A method for summability of Lagrange interpolation

Detlef H. Mache

Universität Dortmund, Lehrstuhl Mathematik VIII, Postfach 50 05 00, Dortmund 50 D - 4600, Germany

Abstract

The author uses in this paper a technique from numerical integration (see [9]) to get a discretely defined operator, which is a modification of the Lagrange operator. Therefore we improve with the linear summation method Ln* a result presented in [12] and we also point out a solution for a problem of P.L.Butzer in the proceedings of the Budapest conference in 1980.