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LAGRANGE INTERPOLATION ON TIME SCALES

Journal of Applied Analysis & Computation, 2022
Summary: In this paper, we introduce the Lagrange interpolation polynomials on time scales. We define an alternative type of interpolation functions called \(\sigma\)-Lagrange interpolation polynomials. We discuss some properties of these polynomials and show that on some special time scales, including the set of real numbers, these two types of ...
Georgiev, Svetlin G., Erhan, İnci M.
openaire   +2 more sources

About Nodal Systems for Lagrange Interpolation on the Circle [PDF]

Journal of Applied Mathematics, 2012
We study the convergence of the Laurent polynomials of Lagrange interpolation on the unit circle for continuous functions satisfying a condition about their modulus of continuity.
E. Berriochoa, A. Cachafeiro, J. M. García Amor   +2 more
doaj   +4 more sources

On multivariate Lagrange interpolation [PDF]

Mathematics of Computation, 1995
Lagrange interpolation by polynomials in several variables is studied through a finite difference approach. We establish an interpolation formula analogous to that of Newton and a remainder formula, both of them in terms of finite differences.
Sauer, Thomas, Xu, Yuan
openaire   +2 more sources

Mean convergence of Lagrange interpolation. III [PDF]

Transactions of the American Mathematical Society, 1976
Necessary and sufficient conditions are found for weighted mean convergence of Lagrange and quasi-Lagrange interpolation based at the zeros of generalized Jacobi polynomials.
Nevai, Paul G
core   +5 more sources

Vehicle Trajectory Reconstruction Using Lagrange-Interpolation-Based Framework

Applied Sciences
Vehicle trajectory usually suffers from a large number of outliers and observation noises. This paper proposes a novel framework for reconstructing vehicle trajectories.
Jizhao Wang, Yunyi Liang, Jinjun Tang, Zhizhou Wu   +3 more
doaj   +2 more sources

On The Lagrange Interpolation of Fibonacci Sequence [PDF]

, 2016
Fibonacci sequence is one of the most common sequences in mathematics. It was first introduced by Leonardo Pisa in his book Liber Abaci (1202). From the first n + 1 terms of Fibonacci sequence, a polynomial of degree at most n can be constructed using ...
M. Mufid, T. Asfihani, L. Hanafi
semanticscholar   +2 more sources

Lagrange interpolation with constraints

Journal of Computational and Applied Mathematics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CRISCUOLO, GIULIANA
openaire   +4 more sources

Weighted L Error of Lagrange Interpolation [PDF]

Journal of Approximation Theory, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mastroianni, G., Vertesi, P.
openaire   +2 more sources

Interpolation remainder theory from taylor expansions with non-rectangular domains of influence [PDF]

, 1972
Sobolev norm error bounds are derived for interpolation remainders on triangles using two types of Taylor expansion. These bounds are applied to the finite element analysis of Poisson's equation on a triangulation of a polygonal ...
Gregory, JA, Barnhill, RE
core   +6 more sources

An extension of Lagrange interpolation formula and its applications [PDF]

Mathematics and Computational Sciences, 2023
In this work, a new type of interpolation formula is introduced. These formulas can be an extension of the Lagrange interpolation formula. The error of this new type of interpolation is calculated. In order to display efficiency of the proposed formulas,
Mohammad Ali Jafari, Azim Aminataei
doaj   +1 more source