On comonotony approximation in quasi normed space

Abstract EN

In this paper we are introduce the relationship between the best approximation by the polynomial ℊ ∈ ∏ and modules of smoothness ( , ), and the modules of smoothness , in quasi normed , ( ) space 0 < < 1,and the polynomial ℊ which change its comonotone approximation with the function at every point in an interval .