This is a list of convexity topics, by Wikipedia page.

• Alpha blending
• Barycentric coordinates
• Bohr–Mollerup theorem
• Borsuk's conjecture
• Bond convexity
• Carathéodory's theorem (convex hull)
• Choquet theory
• Closed convex function
• Concavity
• Convex analysis
• Convex combination
• Convex and concave
• Convex conjugate
• Convex function
• Convex geometry
• Convex hull
• Convex lens
• Convex optimization
• Convex polygon
• Convex set
• Epigraph (mathematics)
• Extreme point
• Fenchel conjugate
• Fenchel's inequality
• Fixed point theorems in infinite-dimensional spaces
• Gift wrapping algorithm
• Graham scan
• Hadwiger conjecture (combinatorial geometry)
• Hadwiger's theorem
• Helly's theorem
• Hyperplane
• Indifference curve
• Infimal convolute
• Interval (mathematics)
• Jarvis march
• Jensen's inequality
• Lagrange multiplier
• Legendre transformation
• Locally convex topological vector space
• Mahler volume
• Minimal convex decomposition
• Minkowski's theorem
• Mixture density
• Newton polygon
• Proper convex function
• Radon's theorem
• Separating axis theorem
• Simplex
• Simplex method
• Subdifferential
• Supporting hyperplane
• Supporting hyperplane theorem