The Approximation of Continuous Function Using Projection Operator

In this research, we study the projection operator linked with Chebyshev polynomials that has an important role in finding the best approximation polynomials for a function on the interval. we also use an operator as a useful method in defining best approximation polynomial for Continuous Function on the interval writhen defined condition, The operator is used in zero points of the Chebyshev polynomials and we proved that norm of the operator in minimum.