Some Jensen’s Type Inequalities for Log-Convex Functions of Selfadjoint Operators in Hilbert Spaces
نویسنده
چکیده
Some Jensen’s type inequalities for 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. 2010 Mathematics Subject Classification: 47A63, 47A99
منابع مشابه
Error bounds in approximating n-time differentiable functions of self-adjoint operators in Hilbert spaces via a Taylor's type expansion
On utilizing the spectral representation of selfadjoint operators in Hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in Hilbert Spaces via a Taylor's type expansion are given.
متن کاملSome Jensen’s Type Inequalities for Twice Differentiable Functions of Selfadjoint Operators in Hilbert Spaces
Some Jensen’s type inequalities for twice differentiable 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.
متن کاملSome Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
Some inequalities for 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.
متن کاملNew Jensens Type Inequalities for Di¤erentiable Log-convex Functions of Selfadjoint Operators in Hilbert Spaces
Some new Jensens 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 Jensens inequality for convex functions is one of the most important result in the Theory of Inequalities due to the fact that many ...
متن کاملEla Vector and Operator Trapezoidal Type Inequalities for Continuous Functions of Selfadjoint Operators in Hilbert Spaces∗
Some vector and operator generalized trapezoidal inequalities for continuous functions of selfadjoint operators in Hilbert spaces are given. Applications for power and logarithmic functions of operators are provided as well.
متن کامل