Massive coalescence of nodes in optimal Chebyshev-type quadrature on [−1,1]
Indagationes Mathematicae, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Korevaar, J.L.H. Meyers
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Journal of Approximation Theory, 1999 The main result of the present article is the non-negativity on \([-1,1]\) of the fundamental polynomials for \((0,1, \dots , 2m+1)\) Hermite-Fejér interpolation on the zeros of the Chebyshev polynomials of the first kind. Using this result and Korovkin's theorem, a new proof of the uniform convergence of the corresponding interpolation polynomials is ...
Simon J. Smith
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A numerical approach to fractional Volterra–Fredholm integro-differential problems using shifted Chebyshev spectral collocation [PDF]
Scientific ReportsThis study presents an innovative numerical framework for addressing initial value problems (IVPs) in linear fractional Volterra–Fredholm integro-differential equations (FVFIDEs).
Maha M. Hamood +2 more
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Explicit solution of the polynomial least-squares approximation problem on Chebyshev extrema nodes
Linear Algebra and its Applications, 2007 AbstractIn this paper we propose an explicit solution to the polynomial least squares approximation problem on Chebyshev extrema nodes. We also show that the inverse of the normal matrix on this set of nodes can be represented as the sum of two symmetric matrices: a full rank matrix which admits a Cholesky factorization and a 2-rank matrix.
A. Eisinberg, Giuseppe Fedele
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Lebesgue constants for polyhedral sets and polynomial interpolation on Lissajous–Chebyshev nodes
Journal of Complexity, 2017 29 pages, 1 ...
Peter Dencker +3 more
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A unifying theory for multivariate polynomial interpolation on general Lissajous-Chebyshev nodes
, 2017 The goal of this article is to provide a general multivariate framework that synthesizes well-known non-tensorial polnomial interpolation schemes on the Padua points, the Morrow-Patterson-Xu points and the Lissajous node points into a single unified theory.
Peter Dencker, Wolfgang Erb
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On Berman's phenomenon for (0,1,2) Hermite-Fejér interpolation
Journal of Numerical Analysis and Approximation Theory, 2019 Given \(f\in C[-1,1]\) and \(n\) points (nodes) in \([-1,1]\), the Hermite-Fejer interpolation (HFI) polynomial is the polynomial of degree at most \(2n-1\) which agrees with \(f\) and has zero derivative at each of the nodes. In 1916, L.
Graeme J Byrne, Simon Jeffrey Smith
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Function correction and Lagrange – Jacobi type interpolation [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 It is well-known that the Lagrange interpolation based on the Chebyshev nodes may be divergent everywhere (for arbitrary nodes, almost everywhere), like the Fourier series of a summable function.
Novikov, Vladimir Vasil’evich
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Chebyshev Interpolation Using Almost Equally Spaced Points and Applications in Emission Tomography
Mathematics, 2023 Since their introduction, Chebyshev polynomials of the first kind have been extensively investigated, especially in the context of approximation and interpolation.
Vangelis Marinakis +3 more
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Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
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