9 citations · 23 across the 14 of their papers we have counts for
5 papers · 1 filter
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…