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