Results 11 to 20 of about 357,643 (260)
A Characterization of the Extended Best φ-Approximation Operator
Numerical Functional Analysis and Optimization, 2011 Given an non necessarily linear operator T defined from an Orlicz space L φ′(Ω, 𝒜, μ) into itself, where φ′ denote the derivative of a strictly convex function φ, we give necessary and sufficient conditions on T assuring that this operator is an extended best φ-approximation operator given a suitable σ-lattice ℒ ⊆ 𝒜.
Carrizo, Ivana +2 more
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Characterization of a best and a unique best approximation from constrained rationals
Computers & Mathematics with Applications, 1995 The necessary and sufficient conditions for the existence and the uniqueness of a best rational approximation with real positive denominator to the continuous functions are given. The theorems are established in the general framework of the space of functions defined on compact Hausdorff space.
Chong, L., Watson, G.A.
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New Characterization for Nonlinear Weighted Best Simultaneous Approximation
International Journal of Mathematics and Mathematical Sciences, 2009 This paper is concerned with the problem of a wide class of weighted best simultaneous approximation in normed linear spaces, and it establishes a new characterization result for the class of approximation by virtue of the notion of simultaneous regular ...
Xianfa Luo, Delin Wu, Jinsu He
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Canonical Sets of Best L1-Approximation
Journal of Function Spaces and Applications, 2012 In mathematics, the term approximation usually means either interpolation on a point set or approximation with respect to a given distance. There is a concept, which joins the two approaches together, and this is the concept of characterization of the ...
Dimiter Dryanov, Petar Petrov
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Scientific Reports, 2023 Nanophotonics exploits the best of photonics and nanotechnology which has transformed optics in recent years by allowing subwavelength structures to enhance light-matter interactions. Despite these breakthroughs, design, fabrication, and characterization
Sneha Verma +3 more
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Decision Making in Evolutionary Multiobjective Clustering: A Machine Learning Challenge
IEEE Access, 2022 Evolutionary multiobjective algorithms have become a popular choice to tackle the clustering problem. On the one hand, the simultaneous optimization of complementary clustering criteria offers an increased robustness to changes in data characteristics ...
Mario Garza-Fabre +3 more
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On the Rational Approximation of Analytic Functions Having Generalized Types of Rate of Growth
International Journal of Mathematics and Mathematical Sciences, 2012 The present paper is concerned with the rational approximation of functions holomorphic on a domain G⊂C, having generalized types of rates of growth.
Devendra Kumar
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Best approximation in spaces with asymmetric norm
Journal of Numerical Analysis and Approximation Theory, 2006 In this paper we shall present some results on spaces with asymmetric seminorms, with emphasis on best approximation problems in such spaces.
Ştefan Cobzaş, Costică Mustăţa
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Constructive Approximation, 2004 This paper is a continuation of the previous paper of the same authors [J. Approximation Theory 117, No. 2, 279--300 (2002; Zbl 0557.46020)]. Let \((\Omega,{\mathcal A},\mu)\) be a measurable space. The Musielak-Orlicz norm \(\| .\| _\varphi\) and the Musielak-Orlicz space \({L_{\varphi}=L_{\varphi}(\Omega,{\mathcal A},\mu)}\) are defined as usual [see
Mazzone, Fernando Dario +1 more
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Optimal discriminating designs for several competing regression models
, 2013 The problem of constructing optimal discriminating designs for a class of regression models is considered. We investigate a version of the $T_p$-optimality criterion as introduced by Atkinson and Fedorov [Biometrika 62 (1975a) 289-303].
Braess, Dietrich, Dette, Holger
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