11 citations
21 papers
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…
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…