9 citations · 49 across the 36 of their papers we have counts for
42 papers
Generalized Euclidean Operator Radius
Mohammad W. Alomari, Mohammad Sababheh, Cristian Conde +1
In this paper, we introduce the operator radius of Hilbert space operators as a generalization of the Euclidean operator radius and the operator radius. Properties of the n…
Bounding the zeros of polynomials using the Frobenius companion matrix partitioned by the Cartesian decomposition
Mohammad W. Alomari
In this work, Some new inequalities for the numerical radius of block -by- matrices are presented. As an application, bounding of zeros of polynomials using the Frobenius com…
On Cauchy-Schwarz type inequalities and applications to numerical radius inequalities
Mohammad W. Alomari
In this work, a refinement of the Cauchy--Schwarz inequality in inner product space is proved. A more general refinement of the Kato's inequality or the so called mixed Schwarz ine…
On the Davis-Wielandt radius inequalities of Hilbert space operators
Mohammad W. Alomari
In this work, some new upper and lower bounds of the Davis-Wielandt radius are introduced. Generalizations of some presented results are obtained. Some bounds of the Davis-Wielandt…
The generalized Schwarz inequality for semi-Hilbertian space operators and Some -numerical radius inequalities
Mohammad W. Alomari
In this work, the mixed Schwarz inequality for semi-Hilbertian space operators is proved. Namely, for every positive Hilbert space operator . If and are nonnegative cont…
Klein's trace inequality and superquadratic trace functions
Mohsen Kian, Mohammad W. Alomari
We show that if is a non-negative superquadratic function, then is a superquadratic function on the matrix algebra. In particular, \begin{align*} \tr…
Improvements of Some Numerical radius inequalities
Mohammad W. Alomari
In this work, we improve and refine some numerical radius inequalities. In particular, for all Hilbert space operators , the celebrated Kittaneh inequality reads: \begin{align*}…
Operator Jensen's inequality for operator superquadratic functions
M. W. Alomari
In this work, an operator superquadratic function (in operator sense) for positive Hilbert space operators is defined. Several examples with some important properties together with…
A note on -convex functions
M. W. Alomari
In this work, we discuss the continuity of -convex functions by introducing the concepts of -convex curves (-cord). Geometric interpretation of -convexity is given. The…
Two-point Ostrowski and Ostrowski-Grüss type inequalities with applications
Mohammad W. Alomari
In this work, an extension of two-point Ostrowski's formula for -times differentiable functions is proved. A generalization of Taylor formula is deduced. An identity of Fink typ…
Two-Point Quadrature Rules for Riemann-Stieltjes Integrals with Lp-error estimates
Mohammad W. Alomari
In this work, we construct a new general two-point quadratre rules for the Riemann--Stieltjes integral , where the integrand is…
Lp-error Bounds Of Two And Three-point Quadrature Rules For Riemann-stieltjes Integrals
M. W. Alomari, A. Guessab
In this work, Lp-error estimates of general two and three point quadrature rules for Riemann-Stieltjes integrals are give n. The presented proofs depend on new triangle type inequa…
Sharp Wirtinger's type inequalities for double integrals with Applications
Mohammad W. Alomari
In this work, sharp Wirtinger type inequalities for double integrals are established. As applications, two sharp Čebyšev type inequalities for absolutely continuous functions whose…
On Pompeiu-Cebysev type inequalities for positive linear maps of selfadjoint operators in inner product spaces
Mohammad W. Alomari
In this work, generalizations of some inequalities for continuous -synchronous (-asynchronous) functions of linear bounded selfadjoint operators under positive linear maps in…
Some Numerical radius inequalities
Mohammad W. Alomari
In this work, a pre-Grüss inequality for positive Hilbert space operators is proved. So that, some numerical radius inequalities are proved. On the other hand, based on a non-commu…
On the generalized mixed Schwarz inequality
Mohammad W. Alomari
In this work, an extension of the generalized mixed Schwarz inequality is proved. A companion of the generalized mixed Schwarz inequality is established by merging both Cartesian a…
Refinements of Some Numerical radius inequalities for Hilbert Space Operators
Mohammad W. Alomari
In this work, some generalizations and refinements inequalities for numerical radius of the product of Hilbert space operators are proved. New inequalities for numerical radius of…
Numerical radius inequalities for Hilbert Space Operators
Mohammad W. Alomari
In this work, an improvement of Hölder-McCarty inequality is established. Based on that, several refinements of the generalized mixed Schwarz inequality are obtained. Consequently,…
On An Application of Hayashi's Inequality for Differentiable Functions
M. W. Alomari
In this work, we show that the proof of the main result in [An Application of Hayashi's Inequality for Differentiable Functions, Computers & Mathematics with Applications, 32 (6) (…
Operator Popoviciu's inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces
Mohammad W. Alomari
In this work, operator version of Popoviciu's inequality for positive selfadjoint operators in Hilbert spaces under positive linear maps for superquadratic functions is proved. Ana…
q-Bernoulli Inequality
Mohammad W. Alomari
In this work, the q-analogue of Bernoulli inequality is proved. Some other related results are presented.
Mercer's inequality for h-convex functions
M. W. Alomari
A generalization of Mercer inequality for h-convex function is presented. As application, a weighted generalization of triangle inequality is given.
Popoviciu's type inequalityies for h-MN-convex functions
Mohammad W. Alomari
In this work, several inequalities of Popoviciu type for h-MN-convex functions are proved, where M or N are denote to Arithmetic, Geometric and Harmonic means and is a non-nega…
Some properties of h-MN-convexity and Jensen's type inequalities
Mohammad W. Alomari
In this work, we introduce the class of --convex functions by generalizing the concept of -convexity and combining it with -convexity. Namely, Let …