19 citations · 59 across the 14 of their papers we have counts for
15 papers
Noncommutative Perspectives of Operator Monotone Functions in Hilbert Spaces
Silvestru Sever Dragomir
Some identities for noncommutative perspectives of operator monotone functions in Hilbert spaces aregiven. Applications for weighted operator geometric mean and relative operator e…
Some Levin-Steckin's Type Inequalities for Operator Convex Functions on Hilbert Spaces
Silvestru Sever Dragomir
In this paper we obtain some operator versions of Levin-Steckin integral inequality.
Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions
Silvestru Sever Dragomir, Berikbol T. Torebek
In this paper, obtained some new class of Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities via fractional integrals for the p-hyperbolic convex functions. It is shown…
Noncommutative Chebyshev inequality involving the Hadamard product
Mojtaba Bakherad, Silvestru Sever Dragomir
We present several operator extensions of the Chebyshev inequality for Hilbert space operators. The main version deals with the synchronous Hadamard property for Hilbert space oper…
Hypo-q-Norms on a Cartesian Product of Normed Linear Spaces
Silvestru Sever Dragomir
In this paper we introduce the hypo-q-norms on a Cartesian product of normed linear spaces. A representation of these norms in terms of bounded linear functionals of norm less than…
Improving Schwarz Inequality in Inner Product Spaces
Silvestru Sever Dragomir
Some improvements of the celebrated Schwarz inequality in complex inner product spaces are given. Applications for n-tuples of complex numbers are provided.
Quadratic Weighted Geometric Mean in Hermitian Unital Banach Star-Algebras
Silvestru Sever Dragomir
In this paper we introduce the quadratic weighted geometric mean for invertible elements x, y in a Hermitian unital Banach star-algebra and provide some inequalities for this mean…
Affine and Functional Form of Jensen's Inequalitiy for -convex Functions at a Point
Imran Abbas Baloch, Silvestru Sever Dragomir
In this paper, we give the refinement of an extension of Jensen's inequality to affine combinations. Furthermore, we present the functional form of Jensen's inequality for continuo…
On New Refinements and Reverses of Young's Operator Inequality
Silvestru Sever Dragomir
In this paper we obtain some new refinements and reverses of Young's operator inequality. Extensions for convex functions of operators are also provided.
Inequalities for Quantum f-Divergence of Trace Class Operators in Hilbert Spaces
Silvestru Sever Dragomir
Some inequalities for quantum f-divergence of trace class operators in Hilbert spaces are obtained. It is shown that for normalised convex functions it is nonnegative. Some upper b…
Some Inequalities for Trace Class Operators Via a Kato's Result
Silvestru Sever Dragomir
By the use of the celebrated Kato's inequality we obtain in this paper some new inequalities for trace class operators on a complex Hilbert space H. Natural applications for functi…
Some Trace Inequalities for Operators in Hilbert Spaces
Silvestru Sever Dragomir
Some new trace inequalities for operators in Hilbert spaces are provided. The superadditivity and monotonicity of some associated functionals are investigated and applications for…
A Weighted Ostrowski Type inequality for L and applications
Ather Qayyum, Silvestru Sever Dragomir, Muhammad Shoaib
The aim of this paper is to obtain some generalized weighted Ostrowski inequalities for differentiable mappings. Some well known inequalities can be derived as special cases of the…
Weighted Ostrowski Type inequality Involving Integral Means
Ather Qayyum, Silvestru Sever Dragomir, Muhammad Shoaib +1
The ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The aim of this paper is to establish a new inequality using weight function which…
Inequalities for Functions of Selfadjoint Operators on Hilbert Spaces
Silvestru Sever Dragomir
The main aim of this book is to present recent results concerning inequalities for continuous functions of selfadjoint operators on complex Hilbert spaces. It is intended for use b…