We prove a.s. (almost sure) unisolvency of interpolation by continuous random sampling with respect to any given density, in spaces of multivariate a.e. (almost everywhere) analytic functions. Examples are given concerning polynomial and RBF approximation.& COPY; 2023 Elsevier Ltd. All rights reserved.

Random sampling and unisolvent interpolation by almost everywhere analytic functions

Dell'Accio F.
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2023-01-01

Abstract

We prove a.s. (almost sure) unisolvency of interpolation by continuous random sampling with respect to any given density, in spaces of multivariate a.e. (almost everywhere) analytic functions. Examples are given concerning polynomial and RBF approximation.& COPY; 2023 Elsevier Ltd. All rights reserved.
2023
Random sampling
Interpolation
Real analytic functions
Radial basis functions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/358957
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