Results 1 to 10 of about 501,741 (285)

Mean convergence of Lagrange interpolation [PDF]

open access: yesJournal of Approximation Theory, 2022
In this note we prove mean convergence of Lagrange interpolation at the zeros of para-orthogonal polynomials for measures in the unit circle which does not belong to Szeg\H{o}'s class in the unit circle.
Glenier Bello, M. B. Hernández
semanticscholar   +8 more sources

Barycentric Lagrange Interpolation [PDF]

open access: yesSIAM Review, 2004
Summary: Barycentric interpolation is a variant of Lagrange polynomial interpolation that is fast and stable. It deserves to be known as the standard method of polynomial interpolation.
Lloyd Trefethen, Jean-Paul Berrut
exaly   +3 more sources

Lagrange Interpolation Learning Particle Swarm Optimization. [PDF]

open access: yesPLoS ONE, 2016
In recent years, comprehensive learning particle swarm optimization (CLPSO) has attracted the attention of many scholars for using in solving multimodal problems, as it is excellent in preserving the particles' diversity and thus preventing premature ...
Zhang Kai, Song Jinchun, Ni Ke, Li Song
doaj   +3 more sources

Harmonic Vector Error Analysis Based on Lagrange Interpolation

open access: yesIEEE Access, 2021
With the development of smart substations and the promotion of 61850 standards, sampling values based on IEC61850-9-2 have become an important part of smart substation construction.
Zhaoyun Zhang, Qitong Wang, Zhi Zhang
doaj   +2 more sources

Creating Digital Watermarks in Bitmap Images Using Lagrange Interpolation and Bezier Curves [PDF]

open access: yesJournal of Imaging, 2023
The article is devoted to the introduction of digital watermarks, which formthe basis for copyright protection systems. Methods in this area are aimed at embedding hidden markers that are resistant to various container transformations.
Aigerim Yerimbetova   +7 more
doaj   +2 more sources

Lagrange Multivariate Polynomial Interpolation: A Random Algorithmic Approach

open access: yesJournal of Applied Mathematics, 2022
The problems of polynomial interpolation with several variables present more difficulties than those of one-dimensional interpolation. The first problem is to study the regularity of the interpolation schemes.
A. Essanhaji, M. Errachid
doaj   +2 more sources

A method of summability of Lagrange interpolation [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1994
The author uses in this paper a technique from numerical integration (see [9]) to get a discretely defined operator, which is a modification of the Lagrange operator.
Detlef H. Mache
doaj   +3 more sources

Lagrange-Chebyshev Interpolation for image resizing [PDF]

open access: yesMathematics and Computers in Simulation, 2021
Image resizing is a basic tool in image processing and in literature we have many methods, based on different approaches, which are often specialized in only upscaling or downscaling.
D. Occorsio   +2 more
semanticscholar   +6 more sources

The Lagrange interpolation for He’s frequency formulation

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2021
Nonlinear oscillators arise everywhere in engineering, and though there are many analytical methods available, a fast and accurate estimation of the frequency–amplitude relationship is much needed in practical applications.
Yue Shen
doaj   +2 more sources

Error analysis of Lagrange interpolation on tetrahedrons [PDF]

open access: yesJournal of Approximation Theory, 2016
This paper describes the analysis of Lagrange interpolation errors on tetrahedrons. In many textbooks, the error analysis of Lagrange interpolation is conducted under geometric assumptions such as shape regularity or the (generalized) maximum angle ...
Kenta Kobayashi, Takuya Tsuchiya
semanticscholar   +5 more sources

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