Lipschitz continuous

adjective

(Of a real-valued real function f) Such that there exists a constant K such that whenever x_1 and x_2 are in the domain of f, |f(x_1)-f(x_2)|≤K|x_1-x_2|.

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Meanings

adjectiveLipschitz continuous (not comparable)
  1. not comparablemathematics(Of a real-valued real function f) Such that there exists a constant K such that whenever x_1 and x_2 are in the domain of f, |f(x_1)-f(x_2)|≤K|x_1-x_2|.
Cite this entry
APA

Lipschitz continuous. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Lipschitz%20continuous

MLA

“Lipschitz continuous.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Lipschitz%20continuous. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Lipschitz continuous,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Lipschitz%20continuous.

Source: Lipschitz continuous on Wiktionary, CC BY-SA 4.0.