Pure Mathematics for Theoretical Computer Science

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Volume 3 , Issue 1 , PP: 08-14, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

On the Approximation of 3-Monotone Functions in L_P Spaces

Murhaf Obaidi 1 *

  • 1 Mustansiriah University, Department of Mathematics, Iraq - (Red7obaidi756@gmail.com)
  • Doi: https://doi.org/10.54216/PMTCS.030101

    Received: June 19, 2023 Revised: September 18, 2023 Accepted: December 14, 2023
    Abstract

    The main goal of this study is to obtain a direct theorem for the simultaneous approximation of 3 monotone functions in  by splines in the space . Also, we have illustrated many examples to clarify the validity of our work.

    Keywords :

    approximation theory , functional space , monotone ,   , space

    References

    [1] A. Hussain, E. Samir, Orders of coapproximation of functions by algebraic polynomials. Alqqadisia Journal. for Pure and Sciences. 1(9) (2004), 338-345.

    [2] E. Samir, On the constrained and unconstrained approximation. Ph.D. thesis, Baghdad University, College of Education (Ibn-AlHaitham), 2004.

    [3] A. Hussain, E. Samir, Weak copositive approximation and Whitney theorem in , , Jordan Journal of Applied Science-Natural Sciences. 2(8), (2006),51-58.

    [4] E. Samir, Almost copositive polynomial approximation in , , First Conference on Mathematical Sciences(2006), Zarqa Private University, Jordan, 52-57.

    [5] Estimates for Comonotone Polynomial Approximation in , Second Conference on Mathematical Sciences(2008), Zarqa Private University, Jordan.

    [6] V. Konovalov, D. Leviatan, Estimates on the approximation of 3 monotone functions by 3-monotone Quadratic splines. East J. Approx. (2001), 333-349.

     

    Cite This Article As :
    Obaidi, Murhaf. On the Approximation of 3-Monotone Functions in L_P Spaces. Pure Mathematics for Theoretical Computer Science, vol. , no. , 2024, pp. 08-14. DOI: https://doi.org/10.54216/PMTCS.030101
    Obaidi, M. (2024). On the Approximation of 3-Monotone Functions in L_P Spaces. Pure Mathematics for Theoretical Computer Science, (), 08-14. DOI: https://doi.org/10.54216/PMTCS.030101
    Obaidi, Murhaf. On the Approximation of 3-Monotone Functions in L_P Spaces. Pure Mathematics for Theoretical Computer Science , no. (2024): 08-14. DOI: https://doi.org/10.54216/PMTCS.030101
    Obaidi, M. (2024) . On the Approximation of 3-Monotone Functions in L_P Spaces. Pure Mathematics for Theoretical Computer Science , () , 08-14 . DOI: https://doi.org/10.54216/PMTCS.030101
    Obaidi M. [2024]. On the Approximation of 3-Monotone Functions in L_P Spaces. Pure Mathematics for Theoretical Computer Science. (): 08-14. DOI: https://doi.org/10.54216/PMTCS.030101
    Obaidi, M. "On the Approximation of 3-Monotone Functions in L_P Spaces," Pure Mathematics for Theoretical Computer Science, vol. , no. , pp. 08-14, 2024. DOI: https://doi.org/10.54216/PMTCS.030101