A method of summability of Lagrange interpolation

International Journal of Mathematics and Mathematical Sciences

卷:17

Detlef H. Mache¹ 

[1] Universität Dortmund, Lehrstuhl Mathematik VIII, Postfach 50 05 00, Dortmund 50 D - 4600, Germany;

关键词: approximation by positive linear operators;    discrete linear operators;    Lagrange interpolation;    pointwise estimates;    second order modulus of continuity;    Lipschitz type maximal function;    Butzer';    s problem.;   

DOI  :  10.1155/S0161171294000037

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown