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On Multivariate Polynomial Interpolation [PDF]
Constructive Approximation, 1988 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amos Ron, Carl De Boor
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Approximations by multivariate sublinear and Max-product operators under convexity
Demonstratio Mathematica, 2018 Here we search quantitatively under convexity the approximation of multivariate function by general multivariate positive sublinear operators with applications to multivariate Max-product operators.
Anastassiou George A.
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General multivariate arctangent function activated neural network approximations
Journal of Numerical Analysis and Approximation Theory, 2022 Here we expose 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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Generalized recursive multivariate interpolation [PDF]
Mathematics of Computation, 1972 A generalized recursive interpolation technique for a set of linear functionals over a set of general univariate basis functions has been previously developed. This paper extends these results to restricted multivariate interpolation over a set of general multivariate basis functions. When the data array is a suitable configuration (e.g., an n
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Symmetry in multivariate ideal interpolation
Journal of Symbolic Computation, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rodriguez Bazan, Erick, Hubert, Evelyne
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Canonical Sets of Best L1-Approximation
Journal of Function Spaces and Applications, 2012 In mathematics, the term approximation usually means either interpolation on a point set or approximation with respect to a given distance. There is a concept, which joins the two approaches together, and this is the concept of characterization of the ...
Dimiter Dryanov, Petar Petrov
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Multivariate Interpolation of Wind Field Based on Gaussian Process Regression
Atmosphere, 2018 The resolution of the products of numerical weather prediction is limited by the resolution of numerical models and computing resources, which can be improved accurately by a well-chosen interpolation algorithm.
Miao Feng +5 more
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Mathematics, 2023 Multivariate “Bayesian” regression via a shared component model has gained popularity in recent years, particularly in modeling and mapping the risks associated with multiple diseases.
I. Gede Nyoman Mindra Jaya +5 more
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Cardinal interpolation by multivariate splines [PDF]
Mathematics of Computation, 1987 The purpose of this paper is to investigate cardinal interpolation using locally supported piecewise polynomials. In particular, the notion of a commutator is introduced and its connection with the Marsden identity is observed. The order of a commutator is shown to be equivalent to the Strang and Fix conditions that arise in the study of the local ...
Chui, C. K., Jetter, K., Ward, J. D.
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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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