Category
page 1Theorems involving convexity
Jensen's inequality
theorem of convex functions

Convex conjugate
the ("dual") lower-semicontinuous convex function resulting from the Legendre–Fenchel transformation of a "primal" function
Krein–Milman theorem
theorem
Hermite–Hadamard inequality
theorem
Fenchel–Moreau theorem
mathematical theorem in convex analysis
Riesz–Thorin theorem
theorem
Mazur's lemma
On strongly convergent combinations of weakly convergent sequence in a Banach space