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Interpolation space information


In the field of mathematical analysis, an interpolation space is a space which lies "in between" two other Banach spaces. The main applications are in Sobolev spaces, where spaces of functions that have a noninteger number of derivatives are interpolated from the spaces of functions with integer number of derivatives.

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Interpolation space

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analysis, an interpolation space is a space which lies "in between" two other Banach spaces. The main applications are in Sobolev spaces, where spaces of functions...

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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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Reed–Solomon error correction in coding theory. For equispaced nodes, Lagrange interpolation is susceptible to Runge's phenomenon of large oscillation. Given a set...

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Motion interpolation

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Motion interpolation or motion-compensated frame interpolation (MCFI) is a form of video processing in which intermediate film, video or animation frames...

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Marcinkiewicz interpolation theorem

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Marcinkiewicz interpolation theorem, discovered by Józef Marcinkiewicz (1939), is a result bounding the norms of non-linear operators acting on Lp spaces. Marcinkiewicz'...

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Interpolation inequality

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element in one space with a combination norms in other spaces, such as Ladyzhenskaya's inequality and the Gagliardo-Nirenberg interpolation inequality, both...

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Interpolation search

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Interpolation search is an algorithm for searching for a key in an array that has been ordered by numerical values assigned to the keys (key values)....

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Trilinear interpolation

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extension of linear interpolation, which operates in spaces with dimension D = 1 {\displaystyle D=1} , and bilinear interpolation, which operates with...

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Sobolev space

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operator, complex interpolation is the only way to obtain the H s ( Ω ) {\displaystyle H^{s}(\Omega )} spaces. As a result, the interpolation inequality still...

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Trigonometric interpolation

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In mathematics, trigonometric interpolation is interpolation with trigonometric polynomials. Interpolation is the process of finding a function which goes...

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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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Banach space

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descriptions as a fallback Distortion problem Interpolation space Locally convex topological vector space – A vector space with a topology defined by convex open...

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Radial basis function interpolation

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possibly in high-dimensional spaces. The interpolant takes the form of a weighted sum of radial basis functions. RBF interpolation is a mesh-free method, meaning...

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Constructive Approximation

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function theory, functional analysis, interpolation spaces and interpolation of operators, numerical analysis, space of functions, special functions, and...

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Cubic Hermite spline

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corresponding domain interval. Cubic Hermite splines are typically used for interpolation of numeric data specified at given argument values x 1 , x 2 , … , x...

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Slerp

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an interpolation parameter between 0 and 1. Slerp has a geometric formula independent of quaternions, and independent of the dimension of the space in...

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Multivariate interpolation

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In numerical analysis, multivariate interpolation is interpolation on functions of more than one variable (multivariate functions); when the variates are...

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Lorentz space

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\|2^{n}\mu (E_{n})^{1/p}\|_{\ell ^{q}(\mathbb {Z} )}\leq A_{p,q}C} . Interpolation space Hardy–Littlewood inequality Grafakos, Loukas (2008), Classical Fourier...

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Kriging

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(/ˈkriːɡɪŋ/) also known as Gaussian process regression, is a method of interpolation based on Gaussian process governed by prior covariances. Under suitable...

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Newton polynomial

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an interpolation polynomial for a given set of data points. The Newton polynomial is sometimes called Newton's divided differences interpolation polynomial...

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Pose space deformation

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The Animatrix. Fundamentally, pose space deformation (PSD) poses animation as an alternative class of interpolation. Rather than interpolate in time, as...

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Lp space

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Orlicz space – Type of function space Hardy space – Concept within complex analysis Riesz–Thorin theorem – Theorem on operator interpolation Hölder mean –...

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Texture mapping

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cheapest method is to use the nearest-neighbour interpolation, but bilinear interpolation or trilinear interpolation between mipmaps are two commonly used alternatives...

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