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

Authors

  • Saheb K. Jassim
  • Israa Z. Shamkhi

Keywords:

Monotone approximation, polynomial, degree of approximation

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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Published

27-Apr-2017

Issue

Section

Mathematics

Publication Dates