11 citations
4 papers · 2 filters
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 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…