On the Degree of Best Approximation of Unbounded Functions by Algebraic Polynomial
degree of best approximation
unbounded functions
weight space
modulus of smoothness.
In this paper we introduce a new class of degree of best algebraic approximation polynomial Α,, for unbounded functions in weighted space Lp,α(X), 1 ∞ .We shall prove direct and converse theorems for best algebraic approximation in terms modulus of smoothness in weighted space