Best One Sided Multiplier Approximation of Unbounded Functions by Polynomials Operators
Keywords:Multiplier convergence, Multiplier integral, Multiplier modulus one-sided multiplier .
The purpose of this paper is present some operators by using polynomials operators of type G_n (f,x),g_n (f,x),L_n (f) and M_n (f), to get the degree of best one- sided multiplier approximation of unbounded functions by algebraic polynomials in L_(p,φ_n ) (X),X=[0,1] , by τ〖(f,δ)〗_(p,ψ_n ).
Zaboon, A. H. (2015). The degree of best approximation of unbounded function in locally - global weighted space, M.Sc thesis college of science, Mustansirlyah University.
Jassim, S. K., & Auad, A. A. (2014). Best One-Sided Approximation of Entire Functions in Lp,w Spaces. Gen, 21(2), 95-103.
Babenko, A. G., Kryakin, Y. V., & Yudin, V. A. (2012). One-sided approximation in L of the characteristic function of an interval by trigonometric polynomials. Trudy Instituta Matematiki i Mekhaniki UrO RAN, 18(1), 82-95. DOI: 10.1134/S0081543813020041
Hardy, G. H. (2000). Divergent series (Vol. 334). American Mathematical Soc.
Adell, J. A., Bustamante, J., & Quesada, J. M. (2014). Polynomial operators for one-sided L p-approximation to Riemann integrable functions. Journal of inequalities and applications, 2014(1), 1-8.
kasim ,N.M (2004). On monotone and comonotone approximation, M.sc thesis, Eduction college, Kufa University.
Sendov, B. C., & Popov, V. A. (1988). The averaged moduli of smoothness: applications in numerical methods and approximation. Chichester.
How to Cite
Copyright (c) 2022 Al-Mustansiriyah Journal of Science
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Articles accepted for publication in Al-Mustansiriyah Journal of Science (MJS) are protected under the Creative Commons Attribution 4.0 International License (CC BY-NC). Authors of accepted articles are requested to sign a copyright release form prior to their article being published. All authors must agree to the submission, sign copyright release forms, and agree to be included in any correspondence between MJS and the authors before submitting a work to MJS. For personal or educational use, permission is given without charge to print or create digital copies of all or portions of a MJS article. However, copies must not be produced or distributed for monetary gain. It is necessary to respect the copyright of any parts of this work that are not owned by MJS.