Minkowski inequality

The Minkowski inequality is a fundamental result in mathematics that compares the size of the sum of two vectors to the sizes of the individual vectors. Essentially, it states that the length (or "norm") of the combined vector formed by adding two vectors is less than or equal to the sum of their separate lengths. This property ensures that the norm behaves in a consistent way with vector addition, maintaining a form of "triangle inequality," much like the idea that the shortest distance between two points is a straight line. It’s a key concept in geometry, analysis, and related fields.