Results 1 to 10 of about 16,329 (217)
Combined Shepard operators with Chebyshev nodes
Journal of Numerical Analysis and Approximation Theory, 2004 In this paper we study combined Shepard-Lagrange univariate interpolation operator\[S_{n,\mu}^{L,m}(Y;f,x):=S_{n,\mu}^{L,m}(f,x)=\frac{\sum\limits_{k=0}^{n+1}\left\vert x-y_{n,k}\right\vert ^{-\mu}(L_{m}f)(x,y_{n,k})}{\sum\limits_{k=0}^{n+1}\left\vert x ...
Cristina O. Oşan, Radu T. Trîmbitaş
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Dimension reduction of thermoelectric properties using barycentric polynomial interpolation at Chebyshev nodes. [PDF]
Sci Rep, 2020 AbstractThe thermoelectric properties (TEPs), consisting of Seebeck coefficient, electrical resistivity and thermal conductivity, are infinite-dimensional vectors because they depend on temperature. Accordingly, a projection of them into a finite-dimensional space is inevitable for use in computers.
Chung J, Ryu B, Park S.
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Mathematical Modelling and Analysis, 1999 One of the simplest schemes of the degenerate matrix method with nodes as zeroes of Chebyshev polynomials of the second kind is considered. Performance of simple iterations and some modifications of Newton method for the discrete problem is compared ...
T. Cirulis, O. Lietuvietis
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Approximation by interpolation: the Chebyshev nodes [PDF]
Journal of Classical Analysis, 2021 Summary: In this paper, we first revisit the well-known result stating that the Hermite interpolation polynomials of a function \(f\) continuous on \([-1,1]\), with the zeros of the Chebyshev polynomials of the first kind as nodes, converge uniformly to \(f\) on \([-1,1]\).
M. Foupouagnigni +3 more
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On the filtered polynomial interpolation at Chebyshev nodes [PDF]
Applied Numerical Mathematics, 2021 20 pages, 19 figures given in 8 eps ...
Donatella Occorsio, Woula Themistoclakis
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Some remarks on filtered polynomial interpolation at Chebyshev nodes [PDF]
Dolomites Research Notes on Approximation, 2021 The present paper concerns filtered de la Vall e Poussin (VP) interpolation at the Chebyshev nodes of the four kinds. This approximation model is interesting for applications because it combines the advantages of the classical Lagrange polynomial approximation (interpolation and polynomial preserving) with the ones of filtered approximation (uniform ...
Donatella Occorsio, Woula Themistoclakis
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Multivariate polynomial interpolation on Lissajous–Chebyshev nodes [PDF]
Journal of Approximation Theory, 2017 In this article, we study multivariate polynomial interpolation and quadrature rules on non-tensor product node sets related to Lissajous curves and Chebyshev varieties. After classifying multivariate Lissajous curves and the interpolation nodes linked to these curves, we derive a discrete orthogonality structure on these node sets.
Peter Dencker, Wolfgang Erb
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Hermite-Fejer interpolation at the ‘practical’ Chebyshev nodes [PDF]
Bulletin of the Australian Mathematical Society, 1973 Berman has raised the question in his work of whether Hermite-Fejér interpolation based on the so-called “practical” Chebyshev points, , 0(1)n, is uniformly convergent for all continuous functions on the interval [−1, 1]. In spite of similar negative results by Berman and Szegö, this paper shows this result is true, which is in accord with the great ...
R. D. Riess
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Rational interpolation to |x| at the Chebyshev nodes [PDF]
Bulletin of the Australian Mathematical Society, 1997 Recently the authors considered Newman-type rational interpolation to |x| induced by arbitrary sets of interpolation nodes and showed that under mild restrictions on the location of the interpolation nodes, the corresponding sequence of rational interpolants converges to |x|.
L. Brutman, Eli Passow
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Bivariate Lagrange interpolation at the Chebyshev nodes [PDF]
Proceedings of the American Mathematical Society, 2010 We discuss Lagrange interpolation on two sets of nodes in two dimensions where the coordinates of the nodes are Chebyshev points having either the same or opposite parity. We use a formula of Xu for Lagrange polynomials to obtain a general interpolation theorem for bivariate polynomials at either set of Chebyshev nodes.
Lawrence A. Harris
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