η- approximation, η-co- approximation and δ- orthogonal in bounded space
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η- approximation, η-co- approximation, η- orthogonal, bounded function, bounded spaceAbstract
Abstract
The aim goal in this article, some relationships have been established of the concepts - approximation, -co- approximation and - orthogonal with the images under isometry mappings, whereas these results are generalization and expansion of - approximation, -co- approximation and - orthogonal.
References
K. Roshed, 1988, Best approximation in metric space, proceeding of American Mathematical society, 103(2), 579–586.
G. Cybenko, 1989, Approximation by superpostions of a sigmoidal function, Math. Control signals and system, 2, 303–314.
S. Rezapour, 2007, Best approximation in cone metric spaces, Mathematica Moravica, 11, 85–88.
V. Konovalov, D. Leviatan and V. Maiorov, Approximation by polynomials and ridge functions of classes of s-monotone radial functions, Journal of approximation theory, 152, 20–51.
H. Gumus and C. Yildiz, 2012, Some results on t-best approximation in fuzzy n-normed spaces, Iranian journal of fuzzy systemes, 9(2), 137–146.
Naser and M. Hamid, 2015, On best approximation in fuzzy metric spaces, kybernetika, 5(2), 374–386.
T. Nararge and S. Gupta, 2015, Proximinality and co-proximinality in metric space, Journal of applied Mathematics and informatics, vol. LXIX(1), 83–90.
Alaa A. Auad and Alaa M. F. AL. Jumaili, 2017, On Co-Positive Approximation of Unbounded Functions in Weighted Spaces, International Journal of Applied Engineering Research ISSN 0973-4562 12(21), 11392–11396.
Auad A. and Abduljabbar R., 2018, On direct theorems for best polynomial approximation, Journal pf Physics: Conference Series, Valume 1003, Issue 1, article id. 012054 .
Auad A. and Abdulsttar H., 2019, Best simultaneous approximation in weighted space, IOP Conf. Series: Journal of Physics: Conf. Series 1234 (2019) 012111.
Alaa A. and Mohammed F., 2021, The direct and converse theorems for best approximation of algebraic polynomial in L_(p, α) (X), Journal of Physics: Conference Series 1879 (2021) 032010.
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