On Hölder's inequalities for convexity
Using the gauge j(x) of a convex set \(C\subset {\mathbb{R}}^ m\) (0\(\in C)\), which equals the infimum of \(\{t>0|\) \(x\in tC\}\) if this set is not empty and \(\infty\) if it is, the author offers companion pieces, generalizations and converses of the Cauchy-Schwartz, Hölder and Minkowski inequalities.
scientific article; zbMATH DE number 4127537