Best One Sided Multiplier Approximation of Unbounded Functions by Polynomials Operators
DOI:
https://doi.org/10.23851/mjs.v33i2.1082Keywords:
Multiplier convergence, Multiplier integral, Multiplier modulus one-sided multiplier .Abstract
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 ).
References
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.
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