Open AccessOn some class of Bernstein – type operators which represent a generalization of standard Bernstein operators
Author(s) -
Haneen J. Sadiq,
Samaher Adnan Abdul-Ghani,
Enas Wahab Abood
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/928/4/042006
Subject(s) - algorithm , artificial intelligence , computer science
In this paper we introduced a new family of L. P. O. ℬ ¯ m ˙ , r ^ which represent a generalization of Bernstein oper. for a continuous function on the interval [0,1] . Our goal is to study the approximation properties of this sequence and study the uniformly convergence of it on some continuous functions on a compact set [0,1]. We find a rate of this convergence using a modulus of continuity. Finally we establish a formula of a Voronoviskaja-type asymptotic formula on ℬ ¯ m ˙ , r ^ .