result in convex analysis

C15240
concept

In convex analysis, a result is a formally stated and proven fact—such as a theorem, lemma, or proposition—that characterizes properties or relationships of convex sets, convex functions, or related optimization structures.

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All labels observed (7)

Label Occurrences
result in convex analysis canonical 2
result in duality theory 1
result in geometric measure theory 1

Description generation (CDg)

The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.

Instruction
generate a one-sentence description for a given conceptual class.
# Response Format
Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: result in convex analysis
Generated description
In convex analysis, a result is a formally stated and proven fact—such as a theorem, lemma, or proposition—that characterizes properties or relationships of convex sets, convex functions, or related optimization structures.

Instances (8)

Instance Via concept surface
Kantorovich duality result in optimal transport theory
Carathéodory’s theorem in convex geometry —
Karamata's inequality result in majorization theory
Gale’s theorem on flows with convex costs result in mathematical optimization
Gale’s theorem on linear inequalities result in linear programming
Shephard’s lemma result in duality theory
Busemann–Feller theorem result in geometric measure theory
Jensen inequality
surface form: Jensen's inequality
—