Best approximation in Orlicz spaces
International Journal of Mathematics and Mathematical Sciences, 1991 Let X be a real Banach space and (Ω,μ) be a finite measure space and ϕ be a strictly icreasing convex continuous function on [0,∞) with ϕ(0)=0. The space Lϕ(μ,X) is the set of all measurable functions f with values in X such that ∫Ωϕ(‖c−1f(t)‖)dμ(t)0 ...
H. Al-Minawi, S. Ayesh
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A Comparison between Fixed-Basis and Variable-Basis Schemes for Function Approximation and Functional Optimization [PDF]
, 2012 Fixed-basis and variable-basis approximation schemes are compared for the problems of function approximation and functional optimization (also known as infinite programming).
Gnecco, Giorgio +3 more
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Best N-Simultaneous Approximation in Lp(μ,X)
Journal of Function Spaces, 2017 Let X be a Banach space.
Tijani Pakhrou
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Near-best adaptive approximation on conforming meshes [PDF]
, 2019 We devise a generalization of tree approximation that generates conforming meshes, i.e., meshes with a particular structure like edge-to-edge triangulations.
Binev P. +5 more
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Rational approximation of discrete data with asymptomatic behaviour [PDF]
This thesis is concerned with the least-squares approximation of discrete data that appear to exhibit asymptotic behaviour. In particular, we consider using rational functions as they are able to display a number of types of asymptotic behaviour.
Cooper, Philip
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Estimates of the Approximation Error Using Rademacher Complexity: Learning Vector-Valued Functions [PDF]
, 2008 For certain families of multivariable vector-valued functions to be approximated, the accuracy of approximation schemes made up of linear combinations of computational units containing adjustable parameters is investigated.
Gnecco Giorgio +7 more
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Best Approximation Results in Various Frameworks
Axioms, 2019 We first provide a best proximity point result for quasi-noncyclic relatively nonexpansive mappings in the setting of dualistic partial metric spaces. Then, those spaces will be endowed with convexity and a result for a cyclic mapping will be obtained ...
Taoufik Sabar +2 more
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Best Approximation Results for Fuzzy-Number-Valued Continuous Functions
Axioms, 2023 In this paper, we study the best approximation of a fixed fuzzy-number-valued continuous function to a subset of fuzzy-number-valued continuous functions.
Juan J. Font, Sergio Macario
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Improved approximation algorithms for optimization problems in graphs with superlogarithmic treewidth [PDF]
, 2003 In this paper we present two novel generic schemes for approximation algorithms for optimization to partial k-trees. Our first scheme yields deterministic polynomialtime algorithms achieving typically an approximation factor of k/ log n, where k
Chlebikova, Janka +14 more
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On E-Proximinality and Strongly Proximinality in Complex-Valued, Bounded and Continuous Functions Space [PDF]
Sahand Communications in Mathematical Analysis, 2023 For a non-zero normed linear space $A$, we consider $ C^b\left(K\right) $, the complex-valued, bounded and continuous functions space on $K$ with $ \left\| \cdot \right\|_\infty $, where $ K = \overline{B^{\left(0\right)}_1} $ (the closed unit ball of $A$
Rasul Tourani, Ali Reza Khoddami
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