Translation: from english

Hölder s inequality

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  • Hölder's inequality — In mathematical analysis Hölder s inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the study of Lp spaces. Let (S, Σ, μ) be a measure space and let 1 ≤ p, q ≤ ∞ with… …   Wikipedia

  • Holder — may refer to:People with the surname Holder: * Holder (surname)In mathematics: * Hölder condition * Hölder s inequality * Hölder mean * Jordan Hölder theoremIn sports: * Holder (American football)In devices: * Cup holder * Flame holder, a jet… …   Wikipedia

  • Inequality — In mathematics, an inequality is a statement about the relative size or order of two objects, or about whether they are the same or not (See also: equality) *The notation a < b means that a is less than b . *The notation a > b means that a is… …   Wikipedia

  • Inequality (mathematics) — Not to be confused with Inequation. Less than and Greater than redirect here. For the use of the < and > signs as punctuation, see Bracket. More than redirects here. For the UK insurance brand, see RSA Insurance Group. The feasible regions… …   Wikipedia

  • Minkowski inequality — This page is about Minkowski s inequality for norms. See Minkowski s first inequality for convex bodies for Minkowski s inequality in convex geometry. In mathematical analysis, the Minkowski inequality establishes that the Lp spaces are normed… …   Wikipedia

  • Brascamp-Lieb inequality — In mathematics, the Brascamp Lieb inequality is a result in geometry concerning integrable functions on n dimensional Euclidean space R n . It generalizes the Loomis Whitney inequality, the Prékopa Leindler inequality and Hölder s inequality, and …   Wikipedia

  • Young's inequality — In mathematics, the standard form of Young s inequality states that if a and b are nonnegative real numbers and p and q are positive real numbers such that 1/ p + 1/ q = 1 then we have:ab le frac{a^p}{p} + frac{b^q}{q}.Equality holds if and only… …   Wikipedia

  • Otto Hölder — Otto Ludwig Hölder Otto Hölder Born 22 December 1859(1859 12 22) Stuttgart, Germany …   Wikipedia

  • Sobolev inequality — In mathematics, there is in mathematical analysis a class of Sobolev inequalities, relating norms including those of Sobolev spaces. These are used to prove the Sobolev embedding theorem, giving inclusions between certain Sobolev spaces, and the… …   Wikipedia

  • Kantorovich inequality — In mathematics, the Kantorovich inequality is a particular case of the Cauchy Schwarz inequality, which is itself a generalization of the triangle inequality. The triangle inequality states that the length of two sides of any triangle, added… …   Wikipedia

  • Condition de Hölder — En analyse, la continuité höldérienne ou la condition de Hölder est une condition suffisante (mais non nécessaire) pour qu’une application définie entre deux espaces métriques soit continue. La définition s’applique en particulier pour les… …   Wikipédia en Français

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