Abstract
This paper is concerned with a new type of the classical Bernstein operators where the function is evaluated at intervals [0; 1- 1/n+1]. We also make extensive study simultaneous approximation by the linear combination L(n)(f, k, x) of these new Bernstein type operators L(n)(f). At the end of this paper we have given an other modi. cation of these operators. (c) 2008 Elsevier Inc. All rights reserved.