One-Sided Multiplier Approximation of Unbounded Functions

Abstract

The main objective of this article is to study the degree of best one-sided multiplier approximation of unbounded functions ,( ),[ 1,1]npgLY Y= −by means of the average modulus of smoothness by using sequences of algebraic polynomials Pn of degree less than n, nr+ 1, also in this search we shall prove a direct theorem by sequences Pn and some results.