distributions are derived from Gibbs' inequality, including Fano's inequality. It was first presented by J. Willard Gibbs in the 19th century. Suppose that
concepts based on Gibbs's work on thermodynamics and statistical mechanics include the Gibbs lemma in game theory, the Gibbsinequality in information theory
In mathematics, Jensen's inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the integral
many kinds of inequalities involving matrices and linear operators on Hilbert spaces. This article covers some important operator inequalities connected with