invex.
Of a differentiable function f:ℝⁿ→ℝ, being such that there exists a vector valued function g such that f(x)-f(u)≥g(x,u)·∇f(u),, for all x and u.
Meaning & usage
Of a differentiable function f:ℝⁿ→ℝ, being such that there exists a vector valued function g such that f(x)-f(u)≥g(x,u)·∇f(u),, for all x and u.
Where this word comes from
Introduced by Morgan A. Hanson in 1981 as a generalization of convex.
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.