Improved Young and Heinz inequalities with the Kantorovich constant (Q2790796)

The well-known Young inequality for scalars is the weighted arithmetic-geometric mean inequality, which is due to W. H. Young.NEWLINENEWLINEHere, the authors are concerned with several improvements of Young and Heinz inequalities via the Kantorovich constant. In Section 2, they present the whole series of refinements and reverses of the scalar Young inequality which are useful to derive several Heinz mean inequalities. In Section 3, they extend inequalities established in Section 2 from the scalars setting to a Hilbert space operator setting. In the final section, the Hilbert-Schmidt norm inequalities are established.NEWLINENEWLINEThis article is useful to matrix operator theory and \(C^*\)-algebras.