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Hölder condition
(redirected from Hoelder norm)

    Also found in: Wikipedia 0.04 sec.
Hölder condition [′hel·dər kən‚dish·ən]
(mathematics)
A function ƒ(x) satisfies the Hölder condition in a neighborhood of a pointx0if |ƒ(x) - ƒ(x0)| ≤c|(x-x0)|n, wherecandnare constants.
A function ƒ(x) satisfies a Hölder condition in an interval or in a region of the plane if |ƒ(x) - ƒ(y)| ≤c|x - y|nfor allxandyin the interval or region, wherecandnare constants.


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