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convexity theorem

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  • Convexity in economics — Economics …   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

  • Non-convexity (economics) — In economics, non convexity refers to violations of the convexity assumptions of elementary economics. Basic economics textbooks concentrate on consumers with convex preferences (that do not prefer extremes to in between values) and convex budget …   Wikipedia

  • Brouwer fixed point theorem — In mathematics, the Brouwer fixed point theorem is an important fixed point theorem that applies to finite dimensional spaces and which forms the basis for several general fixed point theorems. It is named after Dutch mathematician L. E. J.… …   Wikipedia

  • List of convexity topics — This is a list of convexity topics, by Wikipedia page. Alpha blending Barycentric coordinates Borsuk s conjecture Bond convexity Carathéodory s theorem (convex hull) Choquet theory Closed convex function Concavity Convex analysis Convex… …   Wikipedia

  • Hahn–Banach theorem — In mathematics, the Hahn–Banach theorem is a central tool in functional analysis. It allows the extension of bounded linear operators defined on a subspace of some vector space to the whole space, and it also shows that there are enough… …   Wikipedia

  • Rolle's theorem — In calculus, a branch of mathematics, Rolle s theorem essentially states that a differentiable function, which attains equal values at two points, must have a stationary point somewhere between them.tandard version of the theoremIf a real valued… …   Wikipedia

  • Open mapping theorem (functional analysis) — In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem (named after Stefan Banach and Juliusz Schauder), is a fundamental result which states that if a continuous linear operator between Banach spaces is… …   Wikipedia

  • Helly's theorem — In geometry, Helly s theorem is a basic combinatorial result on convex sets. It was proved by Eduard Helly in 1923, and gave rise to the notion of Helly family.tatement of Helly s theorem:Suppose that::X 1,X 2,dots,X n :is a finite collection of… …   Wikipedia

  • Helly's selection theorem — In mathematics, Helly s selection theorem states that a sequence of functions that is locally of bounded total variation and uniformly bounded at a point has a convergent subsequence. In other words, it is a compactness theorem for the space… …   Wikipedia

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