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Polynomial interpolation

In numerical analysis, polynomial interpolation is the interpolation of a given data set by the polynomial of lowest possible degree that passes through the points in the dataset.

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Overview

Applications

Interpolation theorem

Constructing the interpolation polynomial

Interpolations as linear combinations of values

Interpolation error: Lagrange remainder formula

Lebesgue constants

Convergence properties

Related concepts

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Polynomial interpolation

Nodes91
Edges90
Triples60
Avg. degree1.98
Density0.021978
Components1

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Polynomial interpolation

Top relations

related to Further reading · 36
Polynomial interpolation → AMS, An Introduction, Ann, Approximation, Approximation Theory, Atkinson, Brutman, Cambridge University Press, Chapter, Chapter VII, Clarendon Press, Colloquium Publications, Complex Domain, David, Endre, Interpolation, ISBN, John Wiley, Kendell, Lebesgue
has application · 7
Polynomial interpolation → Bézier, In, Polynomial, Simpson's, Starting, The, This
related to External links · 7
Polynomial interpolation → ALGLIB, CPolynomial Interpolation, EMS Press, Encyclopedia, GSL, Interpolation, Mathematics
related to Related concepts · 5
Polynomial interpolation → Fourier, Here, Interpolation, Runge's, This
related to Interpolation theorem · 2
Polynomial interpolation → Equivalently, For
is a · 1
Polynomial interpolation → interpolation of a given data set by the polynomial of lowest possible degree that passes through the points in the dataset.Given a set of n

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Important terminology

displaystyle interpolation polynomial points nodes frac polynomials degree given function cdots data formula delta newton ldots theorem interpolating values error

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Polynomial interpolationis ainterpolation of a given data set by the polynomial of lowest possible degree that passes through the points in the dataset.Given a set of n0.90text
natural logarithminstance ofApplicationsThe original use of interpolation polynomials was to approximate values of important transcendental functions0.80text
trigonometric functionsinstance ofApplicationsThe original use of interpolation polynomials was to approximate values of important transcendental functions0.80text
Polynomial interpolationhas applicationThe0.60section
Polynomial interpolationhas applicationStarting0.60section
Polynomial interpolationhas applicationPolynomial0.60section
Polynomial interpolationhas applicationSimpson's0.60section
Polynomial interpolationhas applicationIn0.60section
Polynomial interpolationhas applicationThis0.60section
Polynomial interpolationhas applicationBézier0.60section
Polynomial interpolationrelated to External linksInterpolation0.60section
Polynomial interpolationrelated to External linksEncyclopedia0.60section

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