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Min-max interpolators and Lagrange interpolation formula
2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353), 2003For oversampled band-limited signals, min-max optimal interpolators have been proposed under assumptions upon either the signal to be interpolated itself (e.g. finite energy) or its Fourier transform. In this paper, we consider the case where the signal is assumed to be bounded.
Jean-Jacques Fuchs, Bernard Delyon
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Applied Mathematics and Computation, 2019
A highly accurate meshfree approach based on the barycentric Lagrange basis functions is reported for solving the linear and nonlinear multi-dimensional systems of Fredholm integral equations (FIEs) of the second kind.
Hongyan Liu +3 more
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A highly accurate meshfree approach based on the barycentric Lagrange basis functions is reported for solving the linear and nonlinear multi-dimensional systems of Fredholm integral equations (FIEs) of the second kind.
Hongyan Liu +3 more
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On summability of weighted Lagrange interpolation. I
Acta Mathematica Hungarica, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Szili, L., Vértesi, P.
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POSITION-DEPENDENT LAGRANGE INTERPOLATING MULTIRESOLUTIONS
International Journal of Wavelets, Multiresolution and Information Processing, 2007This paper is devoted to the construction of interpolating multiresolutions using Lagrange polynomials and incorporating a position dependency. It uses the Harten's framework21 and its connection to subdivision schemes. Convergence is first emphasized.
Jean Baccou, Jacques Liandrat
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On lagrange and hermite interpolation. I
Acta Mathematica Hungarica, 1987For Lagrange interpolation of degree at most n-1, and other two kinds of Hermite interpolation (one has degree at most m and the other has minimal degree m), the author proves their convergence to higher derivatives and gives each of them an estimate order of approximation to higher derivatives.
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A Note on Schuster's Lagrange Interpolation Method
International Journal of Shape Modeling, 2006Summary: A harmonic interpolation of a polygon (for odd and even numbers of points forming the polygon) used in computer graphics is derived from the primary permutation matrix using the spectral decomposition of the matrix. This is a technique to draw closed curves. We compare these curves with interpolating periodic splines.
Alexandre Hardy, Willi-Hans Steeb
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Interpolation Schedule for the Lagrange Formula
Nature, 1946THE Lagrange interpolation formula is particularly valuable when it is desired to interpolate (or extrapolate to a moderate extent) into a series in which the independent variable moves in unequal steps. The formula takes the form where y takes on values y1, y2... yn for values of x of x1, x2, x3...
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Computer Methods in Applied Mechanics and Engineering, 2023
Li-Hua Wang +3 more
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Li-Hua Wang +3 more
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