The Strong Approximation by Linear Positive Operator In terms of the Averaged Modulus of Order One

Abstract

In this work, we introduceBernst-ein linear positive operatorsB_(n,k) (f,x) in the space of all continuous functionsC_I where I=[0,1] with some properties of this operator so to find the strongapproxi- mation of continuous functions with the averaged modulus of order one.

Keywords

• strong approximation
• linear positive operator
• averaged modulus
• order one