On Comonotony Approximation in Quasi Normed Space
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 .Downloads
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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.
[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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