Results 141 to 150 of about 85,893 (168)

Weight structures for approximate reasoning with weighted expressions

Proceedings of 26th IEEE International Symposium on Multiple-Valued Logic (ISMVL'96), 2002
One method of constructing an 'approximate reasoning' system is to use a 'classical' system of many-valued logic and attach to each logical expression a 'weight' which assesses the validity of this expression. Several such systems have been described in the literature, with varying interpretations concerning structure and semantics of weights.
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Weighted Approximation by Rational Operators

Results in Mathematics, 2003
In this interesting paper, the author considers Shephard-type rational operators \[ S_n(f; x)= \Biggl[\sum^{n-1}_{k=1}| x- x_k|^{-s} f(x_k)\Biggr]\Biggl/\Biggl[\sum^{n-1}_{k=1}| x- x_k|^{-s}\Biggr] \] for appropriately chosen nodes \(\{x_k\}\) in \([-1,1]\). Let \(\alpha> 0\) and \[ w(x)= (1- x^2)^\alpha,\quad x\in [-1,1]. \] The author establishes the
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The centroid of points with approximate weights

1995
Let S be a set of points in ℝd, each with a weight that is not known precisely, only known to fall within some range. What is the locus of the centroid of S? We prove that this locus is a convex polytope, the projection of a zonotope in ℝd+1. We derive complexity bounds and algorithms for the construction of these “centroid polytopes”.
Marshall W. Bern, David Eppstein, Leonidas J. Guibas, John Hershberger 0001, Subhash Suri, Jan Wolter 0002   +5 more
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Weighted polynomial approximation with Freud weights

Constructive Approximation, 1994
The authors have shown that if \(w(x)= \exp(-| x|^ \lambda)\) and \(I_ \lambda\) be the support of an external measure associated with it then (i) for \(\lambda= 1\) for every continuous \(f\) that vanishes outside \(I_ \lambda\) there are polynomials \(P_ n\) of degree of most \(n\) such that \(w^ n P_ n\) uniformly tends to \(f\), (ii) for \(0 ...
Lubinsky, Doron S., Totik, Vilmos
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On the Power of Standard Information for Weighted Approximation

Foundations of Computational Mathematics, 2001
The authors study the weighted approximation problem of multivariate functions for classes of standard and linear information in the worst case and average case settings. The class \(\Lambda^{\text{std}}\) of standard information consists of function evaluations.
Grzegorz W. Wasilkowski, Henryk Wozniakowski   +1 more
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The Best Interpolating Approximation is a Limit of Best Weighted Approximations

Canadian Mathematical Bulletin, 1982
AbstractUnder appropriate conditions it is shown that the best interpolating approximation to a given function in the uniform norm is a limit of best unconstrained approximations with respect to a certain sequence of discontinuous weight functions.
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On the Degree of Approximation in Multivariate Weighted Approximation

2002
Let s ≥ 1 be an integer, f ∈ L P (R s ) for some p, 1 ≤ p ∞ or be a continuous function on R S vanishing at infinity. We consider the degree of approxima-tion of f by expressions of the form exp \( ( - {\text{ }}\sum\limits_{k = 1}^s {{Q_k}\left( {{x_k}} \right)} )P\left( {{x_1},...,{x_s}} \right) \) where each exp(—Q k (·)) is a Freud type weight ...
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Applications of Generalized Weighted Statistical Convergence to Approximation Theorems for Functions of One and Two Variables

Numerical Functional Analysis and Optimization, 2020
Faruk Özger
exaly  

Weighted triangular approximation of fuzzy numbers

International Journal of Approximate Reasoning, 2007
Wenyi Zeng
exaly  

Weighted statistical convergence and its application to Korovkin type approximation theorem

Applied Mathematics and Computation, 2012
M Mursaleen, Vatan Karakaya, MUZEYYEN Erturk   +2 more
exaly