Hölder condition

Hölder condition
/hel"deuhr/; Ger. /huel"deuhrdd/, Math.
[after German mathematician Ludwig Otto Hölder (1859-1937)]

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Universalium. 2010.

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  • Hölder condition — In mathematics, a real valued function f on R n satisfies a Hölder condition, or is Hölder continuous, when there are nonnegative real constants C , α, such that, forall x, y in mathbf{R}^n ,: | f(x) f(y) | leq C |x y| ^{alpha}. This condition… …   Wikipedia

  • Hölder condition — /hel deuhr/; Ger. /huel deuhrdd/, Math. See Lipschitz condition. [after German mathematician Ludwig Otto Hölder (1859 1937)] …   Useful english dictionary

  • 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

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

  • Lipschitz condition — /lip shits/, Math. the property of a function on a closed interval such that the absolute value of the difference in functional values at any two points in the interval is less than a constant times the absolute value of the difference of the… …   Universalium

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