APPROXIMATION OF 3-MONOTONE FUNCTIONS BY 3-MONOTONE FUNCTIONS IN Lp SPACES

Authors

  • Eman Samir Bhaya University of Kufa
  • Rewayda Razaak Mohsin University of Kufa

DOI:

https://doi.org/10.31642/JoKMC/2018/010109

Keywords:

approximation, 3-monotone functions

Abstract

We Obtain a direct theorem for the simultaneous approximation of 3-monotone functions in Lp by
splines in Lp .

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References

A. Hussain, E. Samir, Orders of coapproximation of functions by algebraic polynomials.

Alqqadisia Journal. for Pure and Sciences.1(9)(2004), 338-345.

E. Samir, On the constrained and unconstrained approximation. Ph.D. thesis, Baghdad

University, College of Education (Ibn-AlHaitham), 2004.

A. Hussain, E. Samir, Weak copositive approximation and Whitney theorem in Lp , p < 1,

Jordan Journal of Applied Science-Natural Sciences.2(8), (2006),51-58.

E. Samir, Almost copositive polynomial approximation in Lp [-1,1], p < 1, First

Conference on Mathematical Sciences(2006), Zarqa Private University, Jordan, 52-57.

Estimates for Comonotone Polynomial Approximation in Lp , Second Conference on

Mathematical Sciences(2008), Zarqa Private University, Jordan,( to appear).

V. Konovalov, D. Leviatan, Estimates on the approximation of 3-monotone functions by

-monotone Quadratic splines. East J. Approx. (2001), 333-349.

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Published

2010-04-30

How to Cite

Bhaya, E. S., & Mohsin, R. R. (2010). APPROXIMATION OF 3-MONOTONE FUNCTIONS BY 3-MONOTONE FUNCTIONS IN Lp SPACES. Journal of Kufa for Mathematics and Computer, 1(1), 54–64. https://doi.org/10.31642/JoKMC/2018/010109

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