Bifractional inequalities and convex cones
Let \(V\) be a real linear space equipped with an inner product \(\left\langle .,.\right\rangle .\) The author gives three characterizations of the vectors \( y,z\in V\) with the property that the inequality \(\left\langle z,x\right\rangle \left\langle y,v\right\rangle \leq \left\langle z,y\right\rangle \left\langle x,v\right\rangle \) is valid for given vectors \( v\) and \(x\) in \(V.\) Using them he studies more inequalities of this type like those of Chebyshev, Andersson, Seitz, or the reviewer. Replacing the property of synchronicity by the separability of pairs of vectors, the range of applicability of the above-mentioned inequalities is extended.
scientific article; zbMATH DE number 5016261