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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.
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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 +2 more
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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
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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
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Weighted L Error of Lagrange Interpolation
Journal of Approximation Theory, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mastroianni, G., Vertesi, P.
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On the Divergence of Lagrange Interpolation to |x|
Journal of Approximation Theory, 1995 The authors prove that the sequence of polynomial interpolants to the absolute value of \(x\) at a family of nodes diverges everywhere except at zero and the end-points.
Brutman, L., Passow, E.
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Lagrange interpolation with constraints
Journal of Computational and Applied Mathematics, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CRISCUOLO, GIULIANA
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Electrocardiogram estimation using Lagrange interpolation
Electronics Letters, 2021 An electrocardiogram records activity of cardiac which is collected through the electrodes positioned on specific locations on the human body. These signals are required for cardiac‐related issues.
Om Prakash Yadav, Anil Kumar Sahu
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Some new kinds of interpolation formulas and its applications [PDF]
Mathematics and Computational Sciences, 2022 In this work, using the determination function, some new kinds of interpolation formulas are presented.These novel formulas are extensions of Lagrange interpolation. Error formula for these new kind of interpolation formulas are obtained.
M. A Jafari, A Aminataei
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ASM Science Journal, 2021 This research is considered the milestone for metrologists to choose the appropriate method for determination of the nonlinear interpolation function for the measuring instruments.
Gouda Mohamed Mahmoud, Shaker Gelany
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