On Comonotony Approximation in Quasi Normed Space

  • Nada Zuhair Abd AL-Sada Department of Mathematics, College of education of Al-Qadisiyah
Keywords: Comonotone, degree of best approximation, Modulus of smoothens.

Abstract

In this paper we are introduce the relationship between  the best approximation by the polynomial  and modules of smoothness , and the modules of smoothness  , in quasi normed  space ,and the polynomial  which change its comonotone approximation with the function  at every point in an interval .

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References

[1]D.Leviatan ,"Shape –preserving approximation by Polynomials",Journal of Computational and Applied Mathematics 121 (2000)73-94.
[2]N.Z.Abd Al-Sada (2015):" On Positive and Copositive Approximation in L_(ψ,p) (I) Spaces 0 [3]R.A.Devor,,D.Leviatan,X.M. Yu,polynomial Approximation in L_p (0 [4] R.A.Devor,X.M. Yu,pointwise estimates for monotone polynomial approximation,Constr.Approx.1(1985)323-331.
[5]S.P.Zhou,On comonotone approximation by polynomials in L^p space, Analysis 13 (1993) 363-376.
Published
2018-01-09
How to Cite
Abd AL-Sada, N. Z. (2018). On Comonotony Approximation in Quasi Normed Space. Al-Qadisiyah Journal of Pure Science, 22(2), 143-151. Retrieved from https://journalsc.qu.edu.iq/index.php/JOPS/article/view/565
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Articles