On approximation by a class of new Bernstein type operators

摘要

This paper is concerned with a new type of the classical Bernstein operators where the function is evaluated at intervals [0,1-1n+1]. We also make extensive study simultaneous approximation by the linear combination Ln(f,k,x) of these new Bernstein type operators Ln(f). At the end of this paper we have given an other modification of these operators.