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interpolation operator

См. также в других словарях:

  • Interpolation space — In the field of mathematical analysis, an interpolation space is a space which lies in between two other spaces. The main applications are in Sobolev spaces, where spaces of functions that have a noninteger number of derivatives are interpolated… …   Wikipedia

  • Trilinear interpolation — is a method of multivariate interpolation on a 3 dimensional regular grid. It approximates the value of an intermediate point (x, y, z) within the local axial rectangular prism linearly, using data on the lattice points. For an arbitrary,… …   Wikipedia

  • Marcinkiewicz interpolation theorem — In mathematics, the Marcinkiewicz interpolation theorem, discovered by Józef Marcinkiewicz (1939), is a result bounding the norms of non linear operators acting on Lp spaces. Marcinkiewicz theorem is similar to the Riesz–Thorin theorem about …   Wikipedia

  • Polynomial interpolation — In the mathematical subfield of numerical analysis, polynomial interpolation is the interpolation of a given data set by a polynomial. In other words, given some data points (such as obtained by sampling), the aim is to find a polynomial which… …   Wikipedia

  • Lebesgue constant (interpolation) — For other uses, see: Lebesgue constant. In mathematics, the Lebesgue constants (depending on a set of nodes and of its size) give an idea of how good the interpolant of a function (at the given nodes) is in comparison with the best polynomial… …   Wikipedia

  • Brahmagupta interpolation formula — In trigonometry, the Brahmagupta interpolation formula is a special case of the Newton Stirling interpolation formula to the second order, which Brahmagupta used in 665 to interpolatenew values of the sine function from other values already… …   Wikipedia

  • Szász-Mirakyan operator — In functional analysis, a discipline within mathematics, the Szász Mirakjan [Also spelled Mirakyan and Mirakian ] operators are generalizations of Bernstein polynomials to infinite intervals. They are defined by:left [mathcal{S} n(f) ight]… …   Wikipedia

  • Favard operator — In functional analysis, a branch of mathematics, the Favard operators are defined by:: [mathcal{F} n(f)] (x) = frac{sqrt{n{nsqrt{cpi sum {k= infty}^infty {exp{left({frac{ n}{c} {left({frac{k}{n} x} ight)}^2 } ight)} fleft(frac{k}{n} ight)}where… …   Wikipedia

  • Remez algorithm — The Remez algorithm (sometimes also called Remes algorithm, Remez/Remes exchange algorithm), published by Evgeny Yakovlevich Remez in 1934 [E. Ya. Remez, Sur la détermination des polynômes d approximation de degré donnée , Comm. Soc. Math.… …   Wikipedia

  • List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra …   Wikipedia

  • Sobolev space — In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp norms of the function itself as well as its derivatives up to a given order. The derivatives are understood in a suitable weak sense… …   Wikipedia

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