Refinements of a reversed AM–GM operator inequality

Cyclic Refinements of the Different Versions of Operator Jensen's Inequality

Refinements of Pinsker's inequality

Let V and D denote, respectively, total variation and divergence. We study lower bounds of D with V fixed. The theoretically best (i.e. largest) lower bound determines a function L = L(V ), Vajda’s tight lower bound, cf. Vajda, [?]. The main result is an exact parametrization of L. This leads to Taylor polynomials which are lower bounds for L, and thereby extensions of the classical Pinsker ine...

Refinements of Generalized Hölder’s Inequality

In this paper, we present some refinements of a generalized Hölder’s inequality, which is due to Vasić and Pečarić. Mathematics subject classification (2010): Primary 26D15; Secondary 26D10.

An Operator Extension of Bohr's inequality

Refinements of Kantorovich Inequality for Hermitian Matrices