11 citations
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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 …
On Pompeiu-Chebyshev functional and its generalization
Mohammad W. Alomari
In this work, a generalization of Chebyshev functional is presented. New inequalities of Gruss type via Pompeiu's mean value theorem are established. Improvements of some old inequ…
On Alzer's inequality
Mohammad W. Alomari
Extensions and generalizations of Alzer's inequality; which is of Wirtinger type are proved. As applications, sharp trapezoid type inequality and sharp bound for the geometric mean…
Bounds for the difference between two Čebyšev functionals
Mohammad W. Alomari
In this work, a generalization of pre-Grüss inequality is established. Several bounds for the difference between two Čebyšev functional are proved.