Volume 3 • Issue 1 • PP: 01–07 • 2024
On the Approximation of 3-Monotone Functions in LP Spaces
Open Access & Copyright
© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
View PDF 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
References
[1] A. Hussain and E. Samir, “Orders of coapproximation of functions by algebraic polynomials,” Alqqadisia Journal for Pure and Sciences, vol. 1, no. 9, pp. 338–345, 2004.
[2] E. Samir, On the Constrained and Unconstrained Approximation. Ph.D. thesis, Baghdad University, College of Education (Ibn-AlHaitham), 2004.
[3] A. Hussain and E. Samir, “Weak copositive approximation and Whitney theorem in LP, P < 1,” Jordan Journal of Applied Science–Natural Sciences, vol. 2, no. 8, pp. 51–58, 2006.
[4] E. Samir, “Almost copositive polynomial approximation in LP[−1,1], P < 1,” in First Conference on Mathematical Sciences, Zarqa Private University, Jordan, pp. 52– 57, 2006.
[5] “Estimates for Comonotone Polynomial Approximation in LP,” in Second Conference on Mathematical Sciences, Zarqa Private University, Jordan, 2008.
[6] V. Konovalov and D. Leviatan, “Estimates on the approximation of 3-monotone functions by 3-monotone quadratic splines,” East Journal of Approximation, pp. 333–349, 2001.
Cite This Article
Choose your preferred format
Publisher's Note
The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.