Results 41 to 50 of about 958,747 (333)
Discrete Transforms and Orthogonal Polynomials of (Anti)symmetric Multivariate Sine Functions
Entropy, 2018 Sixteen types of the discrete multivariate transforms, induced by the multivariate antisymmetric and symmetric sine functions, are explicitly developed. Provided by the discrete transforms, inherent interpolation methods are formulated.
Adam Brus +2 more
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On the Regularity of Multivariate Hermite Interpolation
Journal of Approximation Theory, 2000 AbstractIn this paper a result due to Gevorgian, Sahakian, and the author concerning the regularity of bivariate Hermite interpolation is generalized in two directions: in the bivariate case and for arbitrary dimensions. Also a notion of independence (preregularity) of interpolation conditions is discussed and a relation on the independence on ...
Hakop Hakopian
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, 2009 The aim of this work is to show how symbolic computation can be used to perform multivariate Lagrange, Hermite and Birkhoff interpolation and help us to build more realistic interpolating functions. After a theoretical introduction in which we analyze the complexity of the method we shall focus our attention on applications.
Jara, Pascual +3 more
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Hyperbolic Tangent Like Relied Banach Space Valued Neural Network Multivariate Approximations
Annals of the West University of Timisoara: Mathematics and Computer Science, 2023 Here we examine the multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or ℝN , N ∈ ℕ, by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature type neural network ...
Anastassiou George A.
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Multiple general sigmoids based Banach space valued neural network multivariate approximation
Cubo, 2023 Here we present multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or \(\mathbb{R}^{N},\) \(N\in \mathbb{N}\), by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature ...
George A. Anastassiou
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On the Singularity of Multivariate Hermite Interpolation of Total Degree
Discrete Dynamics in Nature and Society, 2016 We study the singularity of multivariate Hermite interpolation of type total degree on m nodes with 3 ...
Zhongyong Hu +2 more
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Reconfigurable Hardware Implementation of a Multivariate Polynomial Interpolation Algorithm
International Journal of Reconfigurable Computing, 2010 Multivariate polynomial interpolation is a key computation in many areas of science and engineering and, in our case, is crucial for the solution of the reverse engineering of genetic networks modeled by finite fields.
Rafael A. Arce-Nazario +2 more
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An Improved Model for Kernel Density Estimation Based on Quadtree and Quasi-Interpolation
Mathematics, 2022 There are three main problems for classical kernel density estimation in its application: boundary problem, over-smoothing problem of high (low)-density region and low-efficiency problem of large samples.
Jiecheng Wang, Yantong Liu, Jincai Chang
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Contractive Multivariate Zipper Fractal Interpolation Functions
Results in MathematicsIn this paper we introduce a new general multivariate fractal interpolation scheme using elements of the zipper methodology. Under the assumption that the corresponding Read-Bajraktarevic operator is well-defined, we enlarge the previous frameworks ...
R. Miculescu, R. Pasupathi
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The Representation of D-Invariant Polynomial Subspaces Based on Symmetric Cartesian Tensors
Axioms, 2021 Multivariate polynomial interpolation plays a crucial role both in scientific computation and engineering application. Exploring the structure of the D-invariant (closed under differentiation) polynomial subspaces has significant meaning for multivariate
Xue Jiang, Kai Cui
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