Results 191 to 200 of about 18,020 (238)

A Smoothing Method of Global Optimization that Preserves Global Minima

Journal of Global Optimization, 2006
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Lau, Mark S. K., Kwong, C. P.
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Global Smoothness Preservation Properties

2016
In this chapter we study the problem of partial global smoothness preservation in the cases of max-product Bernstein approximation operator, max-product Hermite–Fejer interpolation operator based on the Chebyshev nodes of first kind and max-product Lagrange interpolation operator based on the Chebyshev nodes of second kind.
Barnabás Bede   +2 more
openaire   +1 more source

Stochastic Global Smoothness Preservation

2000
Let (Ω, A,P) be a probability space and let CΩ[a, b]denote the space of stochastically continuous stochastic processes with index set [a,b]. When C [a,b] ⊂ V ⊂ CΩ[a,b] and \( \tilde L:V \to C_\Omega \left[ {a,b} \right] \) is an E(expectation)-commutative linear operator on V, sufficient conditions are given here for E-preservation of global smoothness
George A. Anastassiou, Sorin G. Gal
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On Global Smoothness Preservation by Bernstein Operators

Journal of Computational Analysis and Applications, 2001
Bernstein operators (and many of their generalizations) preserve the global smoothness measured by the first-order modulus of smoothness. What about the second-order modulus? The paper is devoted to this question. The author improves some results of Ding-Xuan Zhou (1995) and J. Adell-A. Perez-Palomares (1997), and gives a partial answer to a conjecture
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A Global Laplacian Smoothing Approach with Feature Preservation

Ninth International Conference on Computer Aided Design and Computer Graphics (CAD-CG'05), 2006
This paper presents a novel approach for surface smoothing with feature preservation on arbitrary meshes. Laplacian operator is performed in a global way over the mesh. The surface smoothing is formulated as a quadratic optimization problem, which is easily solved a sparse linear system.
null Zhongping Ji   +2 more
openaire   +1 more source

Global Smoothness Preservation by Multivariate Operators

2000
In this chapter we discuss the global smoothness preservation by some multivariate approximating operators. By extending a fundamental result of Khan and Peters, we establish a general result for operators having the splitting property. Furthermore, we show more complete inequalities for Bernstein operators on the k-dimensional simplex and cube ...
George A. Anastassiou, Sorin G. Gal
openaire   +1 more source

Global Smoothness Preservation by General Operators

2000
In this chapter we search the conditions under which global smoothness of a function f (as measured by its modulus of continuity) is preserved by the elements of general approximating sequences (L n f). As one consequence we obtain statements concerning the invariance of Lipschitz classes under operators of several types.
George A. Anastassiou, Sorin G. Gal
openaire   +1 more source

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