What is levoconvexity?

Levoconvexity refers to a property of a function or surface that is convex in a specific direction, typically indicated by the term "left" (from the Latin "levo"). In a mathematical context, it implies that the function exhibits a certain curvature that resembles a bowl shape when viewed from that direction, ensuring that any line segment drawn between two points on the curve lies above or on the curve itself. This concept is often used in optimization and economic theories to analyze behaviors and preferences that exhibit convex characteristics.