On best uniform approximation by low-rank matrices
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DOI: 10.1016/j.laa.2016.12.034
Abstract: Abstract We study the problem of best approximation, in the elementwise maximum norm, of a given matrix by another matrix of lower rank. We generalize a recent result by Pinkus that describes the best approximation… read more here.
Keywords: best approximation; approximation; low rank; approximation error ... See more keywords
Best approximation by diagonal operators in Schatten ideals
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DOI: 10.1016/j.laa.2021.02.025
Abstract: Abstract If X is the set of compact or p-Schatten operators over a complex Hilbert separable space H , we study the existence and characterization properties of Hermitian A ∈ X such that | |… read more here.
Keywords: operators schatten; best approximation; diagonal operators; approximation diagonal ... See more keywords
Best approximation for multivalued mappings in paranormed spaces
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DOI: 10.1080/09720502.2020.1850996
Abstract: Abstract In this paper, we give some best approximation results for multivalued quasiconvex mappings in paranormed spaces. As corollaries, we obtain some fixed point results for continuous for single-valued and multi-alued mappings. read more here.
Keywords: mappings paranormed; paranormed spaces; best approximation; multivalued mappings ... See more keywords
Best approximation of functions in generalized Hölder class
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DOI: 10.1186/s13660-018-1864-y
Abstract: Here, for the first time, error estimation of the functions g∈Hz(w)$g\in H_{z}^{(w)}$ and g˜∈Hz(w)$\tilde{g}\in H_{z}^{(w)}$ classes using TC1$TC^{1}$ method of F. S. (Fourier Series) and C. F. S. (Conjugate Fourier Series), respectively, are determined. The results of (Dhakal… read more here.
Keywords: lder class; best approximation; functions generalized; approximation functions ... See more keywords
Lagrange multiplier characterizations of constrained best approximation with nonsmooth nonconvex constraints
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DOI: 10.2298/fil2014669m
Abstract: In this paper, we consider the constraint set K := {x ? Rn : gj(x)? 0,? j = 1,2,...,m} of inequalities with nonsmooth nonconvex constraint functions gj : Rn ? R (j = 1,2,...,m).We show… read more here.
Keywords: best approximation; lagrange multiplier; constrained best; constraint ... See more keywords
Separation theorems and best approximation: hybrid
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DOI: 10.2298/fil2425999a
Abstract: A build to applications of ?best approximation? is the main purpose of this paper. The application of approximation theory is critical in analysing obstructions and deviations of the pupil of the eye and other layers,… read more here.
Keywords: best approximation; approximation hybrid; separation; theorems best ... See more keywords