Title of article :
Approximation of Functions in Lp,α(I) (0 p 1)
Author/Authors :
Jassim, Saheb K. Al-Mustansiriya University - College of Science - Dept of Mathematics, Iraq , Shamkhi, Israa Z. Al-Mustansiriya University - College of Science - Dept of Mathematics, Iraq
Abstract :
In this paper we show that the function ,ƒϵ Lp،α,0 p 1 where I=[-1,1] can be approximated by an algebraic polynomial with an error not exceeding, ωk^φ( ƒ ،t 1/n)p،α where ωk^φ( ƒ ،t 1/n)p،α , is the Ditizian–Totik modules of smoothness of unbounded function in ,Lp،α (I).
Keywords :
Monotone approximation , polynomial , degree of approximation
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
