53 citations · 109 across the 15 of their papers we have counts for
15 papers
Inequalities for the Norm and Numerical Radius of Composite Operators in Hilbert Spaces
Sever Silvestru Dragomir
Some new inequalities for the norm and the numerical radius of composite operators generated by a pair of operators are given.
Reverse Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
Sever Silvestru Dragomir
Some elementary inequalities providing upper bounds for the difference of the norm and the numerical radius of a bounded linear operator on Hilbert spaces under appropriate conditi…
On Some Discrete Inequalities in Normed Linear Spaces
Sever Silvestru Dragomir
Some sharp discrete inequalities in normed linear spaces are obtained. New reverses of the generalised triangle inequality are also given.
Bessel Type Inequalities for Non-Orthonormal Families of Vectors in Inner Product Spaces
Sever Silvestru Dragomir
Some sharp Bessel type inequalities for non-orthonormal families of vectors in inner product spaces are given. Applications for complex numbers are also provided.
Reverses of the Schwarz Inequality in Inner Product Spaces Generalising a Klamkin-McLenaghan Result
Sever Silvestru Dragomir
New reverses of the Schwarz inequality in inner product spaces that incorporate the classical Klamkin-McLenaghan result for the case of positive n-tuples are given. Applications fo…
Advances on Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces
Sever Silvestru Dragomir
The purpose of this survey is to give a comprehensive introduction to some classes of classical and recent analytic inequalities in Inner Product Spaces.