Hermite–Hadamard’s type inequalities for convex functions of selfadjoint operators in Hilbert spaces
نویسندگان
چکیده
منابع مشابه
Some Slater Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
Some inequalities of the Slater type for convex functions of selfad-joint operators in Hilbert spaces H under suitable assumptions for the involved operators are given. Amongst others, it is shown that if A is a positive definite operator with Sp (A) ⊂ [m, M ] and f is convex and has a continuous derivative on [m, M ] , then for any x ∈ H with x = 1 the following inequality holds: 0 ≤ f Af ′ (A...
متن کاملSome Jensen’s Type Inequalities for Log-Convex Functions of Selfadjoint Operators in Hilbert Spaces
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
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 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 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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2012
ISSN: 0024-3795
DOI: 10.1016/j.laa.2011.08.050