On the Approximation of 3-Monotone Functions in  L_P Spaces

Murhaf

doi:https://doi.org/10.54216/PMTCS.030101

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Volume 3 • Issue 1 • PP: 08-14 • 2024

On the Approximation of 3-Monotone Functions in L_P Spaces

Murhaf Obaidi ^1*

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¹Mustansiriah University, Department of Mathematics, Iraq

* Corresponding Author.

DOI https://doi.org/10.54216/PMTCS.030101

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

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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 &nbsp 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.

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Obaidi, Murhaf. "On the Approximation of 3-Monotone Functions in L_P Spaces." Pure Mathematics for Theoretical Computer Science, vol. Volume 3, no. Issue 1, 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, Volume 3(Issue 1), 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 Volume 3, no. Issue 1 (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, Volume 3(Issue 1), pp. 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. 2024;Volume 3(Issue 1):08-14. DOI: https://doi.org/10.54216/PMTCS.030101

M. Obaidi, "On the Approximation of 3-Monotone Functions in L_P Spaces," Pure Mathematics for Theoretical Computer Science, vol. Volume 3, no. Issue 1, pp. 08-14, 2024. DOI: https://doi.org/10.54216/PMTCS.030101

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