Approximation of Functions in Lp, α (I) (0 < p < 1)

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Saheb K. Jassim
Israa Z. Shamkhi

Abstract

   In this paper we show that the function , () p fLI α ∈ ,0<p<1 where I=[-1,1] can be approximated by an algebraic polynomial with an error not exceeding , 1 ( , , ) kp ft n Ï• αω      where
,
1 ( , , ) kp ft n ϕ αω is the Ditizian–Totik modules of smoothness of unbounded function in , () p LI

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How to Cite
[1]
Jassim, S.K. and Shamkhi, I.Z. 2017. Approximation of Functions in Lp, α (I) (0 < p < 1). Ibn AL-Haitham Journal For Pure and Applied Sciences. 26, 2 (Apr. 2017), 334–347.
Section
Mathematics

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