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Geometrically nonlinear high-fidelity aerostructural optimization for highly flexible wings. [PDF]
Gray AC, Kennedy GJ, Martins JRRA.
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Trade-Off Between Entropy and Gini Index in Income Distribution. [PDF]
Koutsoyiannis D, Sargentis GF.
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Best Approximation with Coefficient Constraints
IMA Journal of Numerical Analysis, 1988Let B denote a compact Hausdorff space containing at least \(n+1\) points and let C(B) be the normed linear space of real-valued continuous functions on B endowed with the uniform norm \(\| f\| =\max_{x\in B}| f(x)|.\) Denote by \(U_ n\) an n-dimensional subspace of C(B).
Pinkus, A., Strauss, H.
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L 1 -Approximation With Constraints
Transactions of the American Mathematical Society, 1990The authors consider problems of characterization and uniqueness for best \(L^ 1\)-approximation to continuous functions, where the approximating sets are specified convex subsets of finite-dimensional subspaces. After a very interesting introduction in this area, they consider the problem of bounded coefficient approximation and best approximation ...
Pinkus, Allan, Strauss, Hans
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Approximation with Convex Constraints
SIAM Review, 1973Summary: This paper is a study of several problems of best approximation to a given function in a normed linear space from a convex subset of a finite-dimensional subspace. Specific problems treated are one-sided approximation and approximation with a positivity constraint, such as approximation by positive polynomials, monotonic polynomials or convex ...
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Best Polynomial Approximation with Linear Constraints
Canadian Journal of Mathematics, 1992AbstractLet A be a (k + 1) × (k + 1) nonzero matrix. For polynomials p ∈ Pn, set and . Let E ⊂ C be a compact set that does not separate the plane and f be a function continuous on E and analytic in the interior of E. Set and . Our goal is to study approximation to f on E by polynomials from Bn(A). We obtain necessary and sufficient conditions on the
Pan, K., Saff, E. B.
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Discrete Chebyshev Approximation with Linear Constraints
SIAM Journal on Numerical Analysis, 1985For overdetermined systems of linear equations subject to linear constraints, the minimum norm solution with respect to the Chebyshev norm is considered. Using the concept of H-sets, characterizations for the solutions are obtained. A Remez-type ascent exchange algorithm is described and analyzed. Numerical examples are given.
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Constraint database query evaluation with approximation
Proceedings International Conference on Information Technology: Coding and Computing, 2002Considers the problem of solving a large number of simple systems of linear constraints. This problem occurs in the context of constraint databases. The developed methodology is based on a hierarchical evaluation of the constraints, which are first simplified and replaced by approximations.
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