👉 In mathematics, a "planoconvex" refers to a function or curve that is convex and concave on its interior. This means that it has both a convex interior and a concave boundary. For example, consider the following two functions: 1. f(x) = x^3 - 2x + 1 - The graph of this function is a parabola opening upwards with vertex at (1, 0). Therefore, it is convex on its interior.