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interpolation theorem

См. также в других словарях:

  • 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

  • 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

  • Interpolation — In the mathematical subfield of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points. In engineering and science one often has a number of data points, as obtained… …   Wikipedia

  • Craig interpolation — In mathematical logic, Craig s interpolation theorem is a result about the relationship between different logical theories. Roughly stated, the theorem says that if a formula φ implies a formula ψ then there is a third formula ρ, called an… …   Wikipedia

  • Riesz–Thorin theorem — In mathematics, the Riesz–Thorin theorem, often referred to as the Riesz–Thorin interpolation theorem or the Riesz–Thorin convexity theorem is a result about interpolation of operators. It is named after Marcel Riesz and his student G. Olof… …   Wikipedia

  • Riesz-Thorin theorem — In mathematics, the Riesz Thorin theorem, often referred to as the Riesz Thorin Interpolation Theorem or the Riesz Thorin Convexity Theorem is a result about interpolation of operators . This should not be confused with somewhat different… …   Wikipedia

  • Nevanlinna–Pick interpolation — In complex analysis, Nevanlinna–Pick interpolation is the problem of finding a holomorphic function from the unit disc to the unit disc (denoted ), which takes specified points to specified points. Equivalently, it is the problem of finding a… …   Wikipedia

  • Craig's theorem — In mathematical logic, Craig s theorem states that any recursively enumerable set of well formed formulas of a first order language is (primitively) recursively axiomatizable. This result is not related to the well known Craig interpolation… …   Wikipedia

  • Nyquist–Shannon sampling theorem — Fig.1: Hypothetical spectrum of a bandlimited signal as a function of frequency The Nyquist–Shannon sampling theorem, after Harry Nyquist and Claude Shannon, is a fundamental result in the field of information theory, in particular… …   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

  • Whittaker–Shannon interpolation formula — The Whittaker–Shannon interpolation formula or sinc interpolation is a method to reconstruct a continuous time bandlimited signal from a set of equally spaced samples. Contents 1 Definition 2 Validity condition 3 Interpolation as convolution sum …   Wikipedia

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