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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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Lagrange Interpolation for Upsampling
International Journal of Multimedia and Ubiquitous Engineering, 2015In 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, 1986The 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, 2000In 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, 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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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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Curve fitting by Lagrange interpolation
Computers in Physics, 1993It 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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