Convexity is a simple and natural notion which can be traced back to Archimedes (circa 250
BC), in connection with his famous estimate of the value of π (by using inscribed and …

Hermite–Hadamard’s type inequalities for operator convex functions - ScienceDirect Skip to
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Jensen's inequality for normalized positive linear maps between the algebras of bounded
linear operators on a Hilbert space is one of the most important inequalities in the functional …

An operator means a bounded linear operator on a Hilbertspace H. The celebrated
Kantorovich inequality asserts that ifA is an operator on H such that M> A> _m> O, then (A-lx …

Some Hermite–Hadamard's type inequalities for convex functions of selfadjoint operators in
Hilbert spaces under suitable assumptions for the involved operators are given. Applications …

Research Article Some Reverses of the Jensen Inequality for Functions of Selfadjoint
Operators in Hilbert Spaces Page 1 Hindawi Publishing Corporation Journal of Inequalities …

Operator Jensen inequality for superquadratic functions Page 1 Contents lists available at
ScienceDirect Linear Algebra and its Applications www.elsevier.com/locate/laa Operator …

Mathematical inequalities are essential tools in mathematics, natural science and
engineering. This book gives an overview on recent advances. Some generalizations and …

We present several matrix and operator inequalities of Hermite-Hadamard type. We first
establish a majorization version for monotone convex functions on matrices. We then utilize …

A survey of Jensen type inequalities for functions of selfadjoint operators in Hilbert spaces -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …