• BEST ONE-SIDED APPROXIMATION OF UNBOUNDEDFUNCTION

Abstract

In this work, we shall study characterize of one-sided approximation of unbounded functions in weighted space and we shall compare between different norms such as , and where is any unbounded function by using the function = ( ) such that:

(x)=

where m be natural  number, v= , or ( is mult-variable) and = Alsowe shall deduce degree of best one sided approximation in weighted by using some result of degree of best approximation in L_p-space, also we discuss  the relation between degree of best one-sided approximation of unbounded function and degree of best one sided approximation of it's derivative.