New bounds for the Cebysev functional of two functions of selfadjoint operators in Hilbert spaces

Inequalities for the Čebyšev Functional of Two Functions of Selfadjoint Operators in Hilbert Spaces

Some recent inequalities for the Čebyšev functional of two functions of selfadjoint linear operators in Hilbert spaces, under suitable assumptions for the involved functions and operators, are surveyed.

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

New Jensens Type Inequalities for Di¤erentiable Log-convex Functions of Selfadjoint Operators in Hilbert Spaces

Some new Jensen’s type inequalities for di¤erentiable log-convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given. Applications for particular cases of interest are also provided. 1. Introduction Jensen’s inequality for convex functions is one of the most important result in the Theory of Inequalities due to the fact that many ...

New bounds for the Cebysev functional

In this paper some new inequalities for the Čebyšev functional are presented. They have applications in a variety of branches of applied mathematics.

Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces