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Interpolation theorem information


Interpolation theorem may refer to:

  • Craig interpolation in logic
  • Marcinkiewicz interpolation theorem about non-linear operators
  • Riesz–Thorin interpolation theorem about linear operators
  • Polynomial interpolation in analysis

and 18 Related for: Interpolation theorem information

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Interpolation theorem

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Interpolation theorem may refer to: Craig interpolation in logic Marcinkiewicz interpolation theorem about non-linear operators Riesz–Thorin interpolation...

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Marcinkiewicz interpolation theorem

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In mathematics, the Marcinkiewicz interpolation theorem, discovered by Józef Marcinkiewicz (1939), is a result bounding the norms of non-linear operators...

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Craig interpolation

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logic, Craig's interpolation theorem is a result about the relationship between different logical theories. Roughly stated, the theorem says that if a...

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Polynomial interpolation

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

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Interpolation

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In the mathematical field of numerical analysis, interpolation is a type of estimation, a method of constructing (finding) new data points based on the...

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Lagrange polynomial

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scheme. Neville's algorithm Newton form of the interpolation polynomial Bernstein polynomial Carlson's theorem Lebesgue constant The Chebfun system Table...

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Linear interpolation

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In mathematics, linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete...

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Interpolation space

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theory of interpolation of vector spaces began by an observation of Józef Marcinkiewicz, later generalized and now known as the Riesz-Thorin theorem. In simple...

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Chinese remainder theorem

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_{i=1}^{k}B_{i}(X)Q_{i}(X).} A special case of Chinese remainder theorem for polynomials is Lagrange interpolation. For this, consider k monic polynomials of degree...

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Sarason interpolation theorem

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interpolation theorem, introduced by Sarason (1967), is a generalization of the Caratheodory interpolation theorem and Nevanlinna–Pick interpolation....

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Radial basis function interpolation

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Mairhuber–Curtis theorem since the basis functions depend on the points of interpolation. Choosing a radial kernel such that the interpolation matrix is non-singular...

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Schwarz lemma

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The Koebe 1/4 theorem provides a related estimate in the case that f {\displaystyle f} is univalent. Nevanlinna–Pick interpolation Theorem 5.34 in Rodriguez...

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List of theorems

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analysis) Courcelle's theorem (graph theory) Cox's theorem (probability) Craig's theorem (mathematical logic) Craig's interpolation theorem (mathematical logic)...

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Mean value theorem

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{\displaystyle f'(c)={\frac {f(b)-f(a)}{b-a}}.} A special case of this theorem for inverse interpolation of the sine was first described by Parameshvara (1380–1460)...

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Lp space

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{1}{p}}+{\tfrac {1}{q}}=1.} This is a consequence of the Riesz–Thorin interpolation theorem, and is made precise with the Hausdorff–Young inequality. By contrast...

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Hermite interpolation

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polynomial must satisfy. For another method, see Chinese remainder theorem § Hermite interpolation. For yet another method, see, which uses contour integration...

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Commutant lifting theorem

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lifting theorem, due to Sz.-Nagy and Foias, is a powerful theorem used to prove several interpolation results. The commutant lifting theorem states that...

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Interpolation inequality

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In the field of mathematical analysis, an interpolation inequality is an inequality of the form ‖ u 0 ‖ 0 ≤ C ‖ u 1 ‖ 1 α 1 ‖ u 2 ‖ 2 α 2 … ‖ u n ‖ n...

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