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Hölder condition

In mathematics, we say that a function satisfies a Hölder condition, or is α {\displaystyle \alpha } -Hölder continuous or simply Hölder continuous, if for a real or complex-valued function f {\displaystyle f} on d {\displaystyle d} -dimensional Euclidean space, i.e. f : Ω → R {\displaystyle f:\Omega \to \mathbb {R} } or C {\displaystyle \mathbb {C} }…

Examples, Hölder spaces & Properties