About this document
Holder and Minkowski Inequalities by Kofi Appiah-Danquah is a document available to read on EtoBox.
- The document discusses the Holder inequality and Minkowski inequality, which are used to establish the triangular inequality property of metric spaces. - It first provides examples of metric spaces, such as the set of bounded functions over an interval and lp spaces. - It then derives the Holder inequality, which states that for positive real numbers α and β, αβ ≤ αp/p + βq/q, where 1/p + 1/q = 1. - The Minkowski inequality is also derived to show that the lp spaces form metric spaces under a suitable d
- Author
- Kofi Appiah-Danquah
- Language
- EN