Results 191 to 200 of about 59,698 (230)

New Results on Lagrange Interpolation

1992
Uniform convergence of Lagrange interpolation at zeros of Jacobi polynomials or at the zeros of product Jacobi polynomials, as well as at the zeros of generalized smooth Jacobi polynomials is investigated. We show that by a simple procedure it is always possible to transform the matrices of these zeros into matrices such that the corresponding Lagrange
CRISCUOLO, GIULIANA, G. MASTROIANNI
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Lagrange Interpolation in Weighted Besov Spaces

Constructive Approximation, 1999
A function \( w: [-1,1]\rightarrow\mathbb R \) is said to be a generalized Ditzian-Totik weight (GDT weight for short) if \( w \) is of the form \[ w(x):=\prod_{k=0}^M| x-t_k|^{\Gamma_k} \widetilde{w}_k(| t-t_k|^{\delta_k}), \] where \( \Gamma_k\in \mathbb R\), \(-1 ...
MASTROIANNI, Giuseppe Maria, RUSSO, Maria Grazia   +1 more
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On Lattices Admitting Unique Lagrange Interpolations

SIAM Journal on Numerical Analysis, 1977
In this paper generalizations of the classical Lagrange interpolation formula to n-dimensional spaces are discussed. It simplifies and improves upon certain results of some recent authors.
Chung, K. C., Yao, T. H.
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Min-max interpolators and Lagrange interpolation formula

2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353), 2003
For 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.
null Jean-Jacques Fuchs, B. Delyon
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On summability of weighted Lagrange interpolation. I

Acta Mathematica Hungarica, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Szili, L., Vértesi, P.
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Lagrange Interpolation for Upsampling

International Journal of Multimedia and Ubiquitous Engineering, 2015
In this paper, we compare well known interpolation methods such as nearest neighbor, bilinear, bicubic, triangle kernel, and Lagrangian interpolation method. Reconstruction errors from above interpolation methods are compared using test image. From the simulation results, it can be found that Lagrangian method outperforms all other upsampling methods ...
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Uniform convergence of lagrange interpolation processes

Mathematical Notes of the Academy of Sciences of the USSR, 1986
The author gives a general condition for the uniform convergence of the Lagrange interpolation process that is stronger than known ones.
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Approximation Constants in Equidistant Lagrange Interpolation

Periodica Mathematica Hungarica, 2000
In a previous paper [Arch. Math. 74, 385-391 (2000; Zbl 0962.41001)] the author established estimations from below and from above for \(L_n(|x|^\alpha,0)\), \(n=2m-1\), \(m\in N\), \(0\leq\alpha\leq 1\). He proved the double inequality \[ \frac 2{\pi}\frac 1{n^{\alpha}}\leq L_n(|x|^\alpha,0) \leq \frac 1{n^{\alpha}}, \] where both constants \(2/\pi ...
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On lagrange and hermite interpolation. I

Acta Mathematica Hungarica, 1987
For 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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Curve fitting by Lagrange interpolation

Computers in Physics, 1993
It is demonstrated that interpolation by quadratic polynomials using the Lagrange formula may compete in accuracy with cubic spline interpolation, while being simpler to implement. It is also shown that Lagrange interpolation may easily be used to fit an almost arbitrary function to experimental data. FORTRAN routines for Lagrange interpolation as well
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